157332100013600 has 36 divisors (see below), whose sum is σ = 384086989160154. Its totient is φ = 62932840005120.

The previous prime is 157332100013587. The next prime is 157332100013629. The reversal of 157332100013600 is 6310001233751.

157332100013600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 131394958519696 + 25937141493904 = 11462764^2 + 5092852^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 98332561709 + ... + 98332563308.

Almost surely, 2^{157332100013600} is an apocalyptic number.

157332100013600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157332100013600 is an abundant number, since it is smaller than the sum of its proper divisors (226754889146554).

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

157332100013600 is a wasteful number, since it uses less digits than its factorization.

157332100013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196665125037 (or 196665125024 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 157332100013600 in words is "one hundred fifty-seven trillion, three hundred thirty-two billion, one hundred million, thirteen thousand, six hundred".