135524 has 12 divisors (see below), whose sum is σ = 251244. Its totient is φ = 63744.

The previous prime is 135511. The next prime is 135533. The reversal of 135524 is 425531.

It can be written as a sum of positive squares in 2 ways, for example, as 102400 + 33124 = 320^2 + 182^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 135496 and 135505.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135524.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 929 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (20937).

2¹³⁵⁵²⁴ is an apocalyptic number.

It is an amenable number.

135524 is a deficient number, since it is larger than the sum of its proper divisors (115720).

135524 is a wasteful number, since it uses less digits than its factorization.

135524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2012 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 135524 is about 368.1358444922. The cubic root of 135524 is about 51.3655651103.

The spelling of 135524 in words is "one hundred thirty-five thousand, five hundred twenty-four".