157993904 has 20 divisors (see below), whose sum is σ = 311133360. Its totient is φ = 77701440.

The previous prime is 157993889. The next prime is 157993907. The reversal of 157993904 is 409399751.

157993904 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 2×157993904² = 49924147402322432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (157993907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79964 + ... + 81915.

It is an arithmetic number, because the mean of its divisors is an integer number (15556668).

Almost surely, 2^157993904 is an apocalyptic number.

It is an amenable number.

157993904 is a deficient number, since it is larger than the sum of its proper divisors (153139456).

157993904 is a wasteful number, since it uses less digits than its factorization.

157993904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161948 (or 161942 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 47.

The square root of 157993904 is about 12569.5626017774. The cubic root of 157993904 is about 540.6050648045.

The spelling of 157993904 in words is "one hundred fifty-seven million, nine hundred ninety-three thousand, nine hundred four".