157193904 has 80 divisors (see below), whose sum is σ = 465470208. Its totient is φ = 44779776.

The previous prime is 157193887. The next prime is 157193923. The reversal of 157193904 is 409391751.

It is a happy number.

157193904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×157193904² = 49419846909522432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196834 + ... + 197630.

Almost surely, 2^157193904 is an apocalyptic number.

157193904 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 157193904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232735104).

157193904 is an abundant number, since it is smaller than the sum of its proper divisors (308276304).

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

157193904 is a wasteful number, since it uses less digits than its factorization.

157193904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 157193904 is about 12537.6993104796. The cubic root of 157193904 is about 539.6910715843.

The spelling of 157193904 in words is "one hundred fifty-seven million, one hundred ninety-three thousand, nine hundred four".