156564864 has 192 divisors, whose sum is σ = 496454400. Its totient is φ = 47139840.

The previous prime is 156564853. The next prime is 156564913. The reversal of 156564864 is 468465651.

156564864 is a `hidden beast` number, since 1 + 5 + 6 + 564 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503269 + ... + 503579.

It is an arithmetic number, because the mean of its divisors is an integer number (2585700).

Almost surely, 2^156564864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248227200).

156564864 is an abundant number, since it is smaller than the sum of its proper divisors (339889536).

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

156564864 is a wasteful number, since it uses less digits than its factorization.

156564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 156564864 is about 12512.5882214672. The cubic root of 156564864 is about 538.9702185222.

The spelling of 156564864 in words is "one hundred fifty-six million, five hundred sixty-four thousand, eight hundred sixty-four".