135
135 is a odd composite number that follows 134 and precedes 136. It is composed of 8 distinct factors: 1, 3, 5, 9, 15, 27, 45, 135. Its prime factorization can be written as 3^3 × 5. 135 is classified as a deficient number based on the sum of its proper divisors. In computer science, 135 is represented as 10000111 in binary and 87 in hexadecimal. Historically, it is written as CXXXV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3^3 × 5) reveals 4 prime building blocks.
Divisible by 2
135 ends in 5, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 35 are not divisible by 4.
Divisible by 5
135 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 9 is a multiple of 9.
Divisible by 10
135 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 135 within several notable number theory sequences:
Timeline
Deep dive
How 135 breaks down
135 carries 8 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 105, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000111 supports bitwise reasoning, hexadecimal 87 aligns with computing notation, and the Roman numeral CXXXV keeps the encyclopedic tradition alive. These attributes make 135 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 135 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (130–140) to tune search ranges, and educators feature 135 in worksheets about factor trees. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 135 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 135
Is 135 a prime number?
135 is composite with 8 total factors and the prime factorization 3^3 × 5.
What is the prime factorization of 135?
It breaks down as 3^3 × 5, multiplying the primes 3 × 3 × 3 × 5.
How is 135 represented in binary and hexadecimal?
135 converts to 10000111 in binary and 87 in hexadecimal, which are helpful for computer science applications.
Is 135 a perfect square, cube, or triangular number?
135 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 135?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.