156564 has 18 divisors (see below), whose sum is σ = 395850. Its totient is φ = 52176.

The previous prime is 156539. The next prime is 156577. The reversal of 156564 is 465651.

It is a happy number.

156564 is a `hidden beast` number, since 1 + 5 + 656 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 66564 = 300^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2139 + ... + 2210.

2¹⁵⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

156564 is an abundant number, since it is smaller than the sum of its proper divisors (239286).

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

156564 is a wasteful number, since it uses less digits than its factorization.

156564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4354 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 156564 is about 395.6816902511. The cubic root of 156564 is about 53.8969227088.

It can be divided in two parts, 1 and 56564, that added together give a palindrome (56565).

The spelling of 156564 in words is "one hundred fifty-six thousand, five hundred sixty-four".