157136960 has 56 divisors (see below), whose sum is σ = 376388376. Its totient is φ = 62484480.

The previous prime is 157136951. The next prime is 157136963. The reversal of 157136960 is 69631751.

It can be written as a sum of positive squares in 4 ways, for example, as 15241216 + 141895744 = 3904^2 + 11912^2 .

It is not an unprimeable number, because it can be changed into a prime (157136963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56564 + ... + 59276.

It is an arithmetic number, because the mean of its divisors is an integer number (6721221).

Almost surely, 2^157136960 is an apocalyptic number.

157136960 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 157136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188194188).

157136960 is an abundant number, since it is smaller than the sum of its proper divisors (219251416).

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

157136960 is a wasteful number, since it uses less digits than its factorization.

157136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 157136960 is about 12535.4281937236. The cubic root of 157136960 is about 539.6258954350.

The spelling of 157136960 in words is "one hundred fifty-seven million, one hundred thirty-six thousand, nine hundred sixty".