157912320 has 288 divisors, whose sum is σ = 556295040. Its totient is φ = 38010880.

The previous prime is 157912309. The next prime is 157912331. The reversal of 157912320 is 23219751.

It is an interprime number because it is at equal distance from previous prime (157912309) and next prime (157912331).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2676451 + ... + 2676509.

It is an arithmetic number, because the mean of its divisors is an integer number (1931580).

Almost surely, 2^157912320 is an apocalyptic number.

157912320 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 157912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278147520).

157912320 is an abundant number, since it is smaller than the sum of its proper divisors (398382720).

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

157912320 is a wasteful number, since it uses less digits than its factorization.

157912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 157912320 is about 12566.3168828420. The cubic root of 157912320 is about 540.5119972532.

The spelling of 157912320 in words is "one hundred fifty-seven million, nine hundred twelve thousand, three hundred twenty".