135620 has 12 divisors (see below), whose sum is σ = 284844. Its totient is φ = 54240.

The previous prime is 135617. The next prime is 135623. The reversal of 135620 is 26531.

It is an interprime number because it is at equal distance from previous prime (135617) and next prime (135623).

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 81796 = 232^2 + 286^2 .

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, 3371 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (23737).

2¹³⁵⁶²⁰ is an apocalyptic number.

135620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135620 is an abundant number, since it is smaller than the sum of its proper divisors (149224).

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

135620 is a wasteful number, since it uses less digits than its factorization.

135620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 135620 is about 368.2662080615. The cubic root of 135620 is about 51.3776907126.

The spelling of 135620 in words is "one hundred thirty-five thousand, six hundred twenty".