157338100 has 36 divisors (see below), whose sum is σ = 342751500. Its totient is φ = 62690560.

The previous prime is 157338089. The next prime is 157338119. The reversal of 157338100 is 1833751.

157338100 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 34527376 + 122810724 = 5876^2 + 11082^2 .

It is a super-2 number, since 2×157338100² = 49510555423220000, which contains 22 as substring.

157338100 is strictly pandigital in base 9.

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 11 ways as a sum of consecutive naturals, for example, 23976 + ... + 29824.

It is an arithmetic number, because the mean of its divisors is an integer number (9520875).

Almost surely, 2^157338100 is an apocalyptic number.

157338100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157338100 is an abundant number, since it is smaller than the sum of its proper divisors (185413400).

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

157338100 is a wasteful number, since it uses less digits than its factorization.

157338100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 157338100 is about 12543.4484891516. The cubic root of 157338100 is about 539.8560430164.

The spelling of 157338100 in words is "one hundred fifty-seven million, three hundred thirty-eight thousand, one hundred".