135272 has 16 divisors (see below), whose sum is σ = 261060. Its totient is φ = 65664.

The previous prime is 135271. The next prime is 135277. The reversal of 135272 is 272531.

It can be written as a sum of positive squares in 2 ways, for example, as 111556 + 23716 = 334^2 + 154^2 .

It is a d-powerful number, because it can be written as 1 + 3⁶ + 2 + 5⁵ + 7³ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (135271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68 + ... + 524.

2¹³⁵²⁷² is an apocalyptic number.

It is an amenable number.

135272 is a deficient number, since it is larger than the sum of its proper divisors (125788).

135272 is a wasteful number, since it uses less digits than its factorization.

135272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 135272 is about 367.7934202783. The cubic root of 135272 is about 51.3337081362. Note that the first 3 decimals are identical.

It can be divided in two parts, 1352 and 72, that multiplied together give a square (97344 = 312²).

The spelling of 135272 in words is "one hundred thirty-five thousand, two hundred seventy-two".