157972815 has 192 divisors, whose sum is σ = 386104320. Its totient is φ = 60238080.

The previous prime is 157972813. The next prime is 157972819. The reversal of 157972815 is 518279751.

157972815 is a `hidden beast` number, since 1 + 579 + 72 + 8 + 1 + 5 = 666.

It is not a de Polignac number, because 157972815 - 2¹ = 157972813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157972811) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 945862 + ... + 946028.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^157972815 is an apocalyptic number.

157972815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157972815 is an abundant number, since it is smaller than the sum of its proper divisors (228131505).

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

157972815 is a wasteful number, since it uses less digits than its factorization.

157972815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its digits is 176400, while the sum is 45.

The square root of 157972815 is about 12568.7236822201. The cubic root of 157972815 is about 540.5810104428.

The spelling of 157972815 in words is "one hundred fifty-seven million, nine hundred seventy-two thousand, eight hundred fifteen".