157166080 has 120 divisors (see below), whose sum is σ = 395618652. Its totient is φ = 59867136.

The previous prime is 157166077. The next prime is 157166089. The reversal of 157166080 is 80661751.

It can be written as a sum of positive squares in 6 ways, for example, as 76597504 + 80568576 = 8752^2 + 8976^2 .

It is not an unprimeable number, because it can be changed into a prime (157166089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2152924 + ... + 2152996.

Almost surely, 2^157166080 is an apocalyptic number.

157166080 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 157166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197809326).

157166080 is an abundant number, since it is smaller than the sum of its proper divisors (238452572).

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

157166080 is an frugal number, since it uses more digits than its factorization.

157166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 157166080 is about 12536.5896479066. The cubic root of 157166080 is about 539.6592271551.

The spelling of 157166080 in words is "one hundred fifty-seven million, one hundred sixty-six thousand, eighty".