137376160 has 48 divisors (see below), whose sum is σ = 327803112. Its totient is φ = 54400000.

The previous prime is 137376157. The next prime is 137376191. The reversal of 137376160 is 61673731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 114832656 + 22543504 = 10716^2 + 4748^2 .

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, 11910 + ... + 20410.

Almost surely, 2^137376160 is an apocalyptic number.

137376160 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 137376160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163901556).

137376160 is an abundant number, since it is smaller than the sum of its proper divisors (190426952).

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

137376160 is a wasteful number, since it uses less digits than its factorization.

137376160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 137376160 is about 11720.7576546911. The cubic root of 137376160 is about 515.9850565550.

The spelling of 137376160 in words is "one hundred thirty-seven million, three hundred seventy-six thousand, one hundred sixty".