135624 has 16 divisors (see below), whose sum is σ = 339120. Its totient is φ = 45200.

The previous prime is 135623. The next prime is 135637. The reversal of 135624 is 426531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135624.

It is not an unprimeable number, because it can be changed into a prime (135623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2802 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (21195).

2¹³⁵⁶²⁴ is an apocalyptic number.

It is an amenable number.

135624 is an abundant number, since it is smaller than the sum of its proper divisors (203496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135624 is a wasteful number, since it uses less digits than its factorization.

135624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5656 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 135624 is about 368.2716388754. The cubic root of 135624 is about 51.3781958218.

The spelling of 135624 in words is "one hundred thirty-five thousand, six hundred twenty-four".