137072160 has 72 divisors (see below), whose sum is σ = 467763660. Its totient is φ = 36552192.

The previous prime is 137072113. The next prime is 137072167. The reversal of 137072160 is 61270731.

It can be written as a sum of positive squares in 2 ways, for example, as 130782096 + 6290064 = 11436^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (137072167) 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, 46155 + ... + 49034.

Almost surely, 2^137072160 is an apocalyptic number.

137072160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137072160 is an abundant number, since it is smaller than the sum of its proper divisors (330691500).

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

137072160 is a wasteful number, since it uses less digits than its factorization.

137072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95210 (or 95199 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 137072160 is about 11707.7820273526. The cubic root of 137072160 is about 515.6041673126.

The spelling of 137072160 in words is "one hundred thirty-seven million, seventy-two thousand, one hundred sixty".