156564400 has 60 divisors (see below), whose sum is σ = 377857512. Its totient is φ = 62341120.

The previous prime is 156564391. The next prime is 156564403. The reversal of 156564400 is 4465651.

It is a super-2 number, since 2×156564400² = 49024822694720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (156564403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102039 + ... + 103561.

Almost surely, 2^156564400 is an apocalyptic number.

156564400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188928756).

156564400 is an abundant number, since it is smaller than the sum of its proper divisors (221293112).

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

156564400 is a wasteful number, since it uses less digits than its factorization.

156564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 156564400 is about 12512.5696801257. The cubic root of 156564400 is about 538.9696860859.

The spelling of 156564400 in words is "one hundred fifty-six million, five hundred sixty-four thousand, four hundred".