157164900 has 72 divisors (see below), whose sum is σ = 467053440. Its totient is φ = 40775040.

The previous prime is 157164883. The next prime is 157164971. The reversal of 157164900 is 9461751.

157164900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 4021 + ... + 18179.

Almost surely, 2^157164900 is an apocalyptic number.

157164900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157164900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233526720).

157164900 is an abundant number, since it is smaller than the sum of its proper divisors (309888540).

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

157164900 is a wasteful number, since it uses less digits than its factorization.

157164900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14213 (or 14206 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 157164900 is about 12536.5425855776. The cubic root of 157164900 is about 539.6578765679.

The spelling of 157164900 in words is "one hundred fifty-seven million, one hundred sixty-four thousand, nine hundred".