152561634304400 has 30 divisors (see below), whose sum is σ = 366529326417282. Its totient is φ = 61024653721600.

The previous prime is 152561634304309. The next prime is 152561634304411. The reversal of 152561634304400 is 4403436165251.

It can be written as a sum of positive squares in 3 ways, for example, as 21953947734016 + 130607686570384 = 4685504^2 + 11428372^2 .

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, 190702042481 + ... + 190702043280.

Almost surely, 2^{152561634304400} is an apocalyptic number.

152561634304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152561634304400 is an abundant number, since it is smaller than the sum of its proper divisors (213967692112882).

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

152561634304400 is a wasteful number, since it uses less digits than its factorization.

152561634304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381404085779 (or 381404085768 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 152561634304400 in words is "one hundred fifty-two trillion, five hundred sixty-one billion, six hundred thirty-four million, three hundred four thousand, four hundred".