157404816 has 160 divisors (see below), whose sum is σ = 482508800. Its totient is φ = 48988800.

The previous prime is 157404809. The next prime is 157404857. The reversal of 157404816 is 618404751.

It is a happy number.

157404816 is a `hidden beast` number, since 1 + 574 + 0 + 4 + 81 + 6 = 666.

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

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, 1042341 + ... + 1042491.

It is an arithmetic number, because the mean of its divisors is an integer number (3015680).

Almost surely, 2^157404816 is an apocalyptic number.

157404816 is a gapful number since it is divisible by the number (16) 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 157404816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241254400).

157404816 is an abundant number, since it is smaller than the sum of its proper divisors (325103984).

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

157404816 is a wasteful number, since it uses less digits than its factorization.

157404816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 157404816 is about 12546.1076035558. The cubic root of 157404816 is about 539.9323372011.

The spelling of 157404816 in words is "one hundred fifty-seven million, four hundred four thousand, eight hundred sixteen".