157812160 has 112 divisors (see below), whose sum is σ = 414771840. Its totient is φ = 56714240.

The previous prime is 157812143. The next prime is 157812181. The reversal of 157812160 is 61218751.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 376431 + ... + 376849.

It is an arithmetic number, because the mean of its divisors is an integer number (3703320).

Almost surely, 2^157812160 is an apocalyptic number.

157812160 is a gapful number since it is divisible by the number (10) 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 157812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

157812160 is an abundant number, since it is smaller than the sum of its proper divisors (256959680).

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

157812160 is a wasteful number, since it uses less digits than its factorization.

157812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The square root of 157812160 is about 12562.3309938880. The cubic root of 157812160 is about 540.3976951481.

The spelling of 157812160 in words is "one hundred fifty-seven million, eight hundred twelve thousand, one hundred sixty".