157403904 has 288 divisors, whose sum is σ = 533729280. Its totient is φ = 40144896.

The previous prime is 157403903. The next prime is 157403921. The reversal of 157403904 is 409304751.

It is not an unprimeable number, because it can be changed into a prime (157403903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349279 + ... + 2349345.

Almost surely, 2^157403904 is an apocalyptic number.

157403904 is a gapful number since it is divisible by the number (14) 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 157403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266864640).

157403904 is an abundant number, since it is smaller than the sum of its proper divisors (376325376).

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

157403904 is a wasteful number, since it uses less digits than its factorization.

157403904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 157403904 is about 12546.0712575690. The cubic root of 157403904 is about 539.9312944138.

The spelling of 157403904 in words is "one hundred fifty-seven million, four hundred three thousand, nine hundred four".