157009320 has 256 divisors, whose sum is σ = 576979200. Its totient is φ = 37739520.

The previous prime is 157009309. The next prime is 157009337. The reversal of 157009320 is 23900751.

157009320 is a `hidden beast` number, since 1 + 570 + 0 + 93 + 2 + 0 = 666.

157009320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744015 + ... + 744225.

It is an arithmetic number, because the mean of its divisors is an integer number (2253825).

Almost surely, 2^157009320 is an apocalyptic number.

157009320 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 157009320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288489600).

157009320 is an abundant number, since it is smaller than the sum of its proper divisors (419969880).

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

157009320 is a wasteful number, since it uses less digits than its factorization.

157009320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 157009320 is about 12530.3359891106. The cubic root of 157009320 is about 539.4797458442.

The spelling of 157009320 in words is "one hundred fifty-seven million, nine thousand, three hundred twenty".