157690368 has 320 divisors, whose sum is σ = 548000640. Its totient is φ = 44236800.

The previous prime is 157690319. The next prime is 157690381. The reversal of 157690368 is 863096751.

It is a happy 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, 2585058 + ... + 2585118.

It is an arithmetic number, because the mean of its divisors is an integer number (1712502).

Almost surely, 2^157690368 is an apocalyptic number.

157690368 is a gapful number since it is divisible by the number (18) 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 157690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274000320).

157690368 is an abundant number, since it is smaller than the sum of its proper divisors (390310272).

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

157690368 is a wasteful number, since it uses less digits than its factorization.

157690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 157690368 is about 12557.4825502566. The cubic root of 157690368 is about 540.2586415319.

The spelling of 157690368 in words is "one hundred fifty-seven million, six hundred ninety thousand, three hundred sixty-eight".