157129920 has 84 divisors (see below), whose sum is σ = 540471360. Its totient is φ = 41900544.

The previous prime is 157129913. The next prime is 157129939. The reversal of 157129920 is 29921751.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24400 + ... + 30159.

Almost surely, 2^157129920 is an apocalyptic number.

157129920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157129920 is an abundant number, since it is smaller than the sum of its proper divisors (383341440).

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

157129920 is a wasteful number, since it uses less digits than its factorization.

157129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54582 (or 54569 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 157129920 is about 12535.1473864490. The cubic root of 157129920 is about 539.6178365988.

The spelling of 157129920 in words is "one hundred fifty-seven million, one hundred twenty-nine thousand, nine hundred twenty".