157376160 has 144 divisors (see below), whose sum is σ = 540323784. Its totient is φ = 41711616.

The previous prime is 157376113. The next prime is 157376171. The reversal of 157376160 is 61673751.

157376160 is a `hidden beast` number, since 1 + 5 + 7 + 37 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 153066384 + 4309776 = 12372^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421734 + ... + 422106.

Almost surely, 2^157376160 is an apocalyptic number.

157376160 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 157376160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270161892).

157376160 is an abundant number, since it is smaller than the sum of its proper divisors (382947624).

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

157376160 is a wasteful number, since it uses less digits than its factorization.

157376160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 157376160 is about 12544.9655240658. The cubic root of 157376160 is about 539.8995698003.

The spelling of 157376160 in words is "one hundred fifty-seven million, three hundred seventy-six thousand, one hundred sixty".