157328160 has 192 divisors, whose sum is σ = 548674560. Its totient is φ = 37575680.

The previous prime is 157328159. The next prime is 157328179. The reversal of 157328160 is 61823751.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438061 + ... + 438419.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 2^157328160 is an apocalyptic number.

157328160 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 157328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

157328160 is an abundant number, since it is smaller than the sum of its proper divisors (391346400).

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

157328160 is a wasteful number, since it uses less digits than its factorization.

157328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 157328160 is about 12543.0522601160. The cubic root of 157328160 is about 539.8446741191.

The spelling of 157328160 in words is "one hundred fifty-seven million, three hundred twenty-eight thousand, one hundred sixty".