156364884900 has 405 divisors, whose sum is σ = 573902634851. Its totient is φ = 35607680640.

The previous prime is 156364884883. The next prime is 156364884913. The reversal of 156364884900 is 9488463651.

The square root of 156364884900 is 395430.

It is a perfect power (a square), and thus also a powerful number.

156364884900 is a `hidden beast` number, since 15 + 6 + 3 + 64 + 88 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59976989604 + 96387895296 = 244902^2 + 310464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 581281966 + ... + 581282234.

Almost surely, 2^156364884900 is an apocalyptic number.

156364884900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

156364884900 is the 395430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156364884900

156364884900 is an abundant number, since it is smaller than the sum of its proper divisors (417537749951).

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

156364884900 is an equidigital number, since it uses as much as digits as its factorization.

156364884900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 156364884900 in words is "one hundred fifty-six billion, three hundred sixty-four million, eight hundred eighty-four thousand, nine hundred".