135 (number)

135
Cardinal one hundred [and] thirty-five
Ordinal 135th
(one hundredth [and] thirty-fifth)
Numeral system 135
Factorization 3^3 \cdot 5
Divisors 1, 3, 5, 9, 15, 27, 45, 135
Roman numeral CXXXV
Binary 100001112
Octal 2078
Duodecimal B312
Hexadecimal 8716

135 is the natural number following 134 and preceding 136.

Contents

In mathematics

This number in base 10 can be expressed in operations using its own digits in at least two different ways. One is as a sum-product number,

135 = (1 %2B 3 %2B 5)(1 \times 3 \times 5)

(1 and 144 share this property) and the other is as the sum of consecutive powers of its digits:

135 = 1^1 %2B 3^2 %2B 5^3

(175, 518, and 598 also have this property).

135 is a Harshad number.

There are a total of 135 primes between 1,000 and 2,000.

135 = 11 n^2 %2B 11 n %2B 3 for n = 3. This polynomial plays an essential role in Apéry's proof that \zeta(2) is irrational.

In the military

In transportation

In other fields

See also