157616160 has 288 divisors, whose sum is σ = 564459840. Its totient is φ = 36900864.

The previous prime is 157616149. The next prime is 157616161. The reversal of 157616160 is 61616751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157616161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2352447 + ... + 2352513.

It is an arithmetic number, because the mean of its divisors is an integer number (1959930).

Almost surely, 2^157616160 is an apocalyptic number.

157616160 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 157616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282229920).

157616160 is an abundant number, since it is smaller than the sum of its proper divisors (406843680).

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

157616160 is a wasteful number, since it uses less digits than its factorization.

157616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 157616160 is about 12554.5274701997. The cubic root of 157616160 is about 540.1738809039.

The spelling of 157616160 in words is "one hundred fifty-seven million, six hundred sixteen thousand, one hundred sixty".