156231200565504 has 243 divisors, whose sum is σ = 454813955584443. Its totient is φ = 51577696899072.

The previous prime is 156231200565497. The next prime is 156231200565589. The reversal of 156231200565504 is 405565002132651.

The square root of 156231200565504 is 12499248.

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

156231200565504 is a `hidden beast` number, since 1 + 5 + 6 + 2 + 31 + 2 + 0 + 0 + 565 + 50 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1151002831104 + 155080197734400 = 1072848^2 + 12453120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 156231200565504.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65396064342 + ... + 65396066730.

Almost surely, 2^{156231200565504} is an apocalyptic number.

156231200565504 is the 12499248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156231200565504

156231200565504 is an abundant number, since it is smaller than the sum of its proper divisors (298582755018939).

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

156231200565504 is an frugal number, since it uses more digits than its factorization.

156231200565504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 156231200565504 in words is "one hundred fifty-six trillion, two hundred thirty-one billion, two hundred million, five hundred sixty-five thousand, five hundred four".