157972104 has 48 divisors (see below), whose sum is σ = 428866620. Its totient is φ = 52531200.

The previous prime is 157972103. The next prime is 157972117. The reversal of 157972104 is 401279751.

It is a happy number.

157972104 is a `hidden beast` number, since 1 + 579 + 72 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148791204 + 9180900 = 12198^2 + 3030^2 .

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

It is not an unprimeable number, because it can be changed into a prime (157972103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30504 + ... + 35304.

Almost surely, 2^157972104 is an apocalyptic number.

It is an amenable number.

157972104 is an abundant number, since it is smaller than the sum of its proper divisors (270894516).

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

157972104 is a wasteful number, since it uses less digits than its factorization.

157972104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 157972104 is about 12568.6953976934. The cubic root of 157972104 is about 540.5801994306.

The spelling of 157972104 in words is "one hundred fifty-seven million, nine hundred seventy-two thousand, one hundred four".