157087760 has 40 divisors (see below), whose sum is σ = 372130200. Its totient is φ = 61647872.

The previous prime is 157087747. The next prime is 157087781. The reversal of 157087760 is 67780751.

It can be written as a sum of positive squares in 4 ways, for example, as 8832784 + 148254976 = 2972^2 + 12176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×157087760³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14285 + ... + 22764.

It is an arithmetic number, because the mean of its divisors is an integer number (9303255).

Almost surely, 2^157087760 is an apocalyptic number.

157087760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157087760 is an abundant number, since it is smaller than the sum of its proper divisors (215042440).

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

157087760 is a wasteful number, since it uses less digits than its factorization.

157087760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37115 (or 37109 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 41.

The square root of 157087760 is about 12533.4656021389. The cubic root of 157087760 is about 539.5695701218.

The spelling of 157087760 in words is "one hundred fifty-seven million, eighty-seven thousand, seven hundred sixty".