157904 has 20 divisors (see below), whose sum is σ = 312480. Its totient is φ = 77280.

The previous prime is 157901. The next prime is 157907. The reversal of 157904 is 409751.

It is an interprime number because it is at equal distance from previous prime (157901) and next prime (157907).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1067 + ... + 1205.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2¹⁵⁷⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

157904 is a deficient number, since it is larger than the sum of its proper divisors (154576).

157904 is a wasteful number, since it uses less digits than its factorization.

157904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 157904 is about 397.3713628333. The cubic root of 157904 is about 54.0502504351.

The spelling of 157904 in words is "one hundred fifty-seven thousand, nine hundred four".