137172960 has 192 divisors, whose sum is σ = 486077760. Its totient is φ = 36126720.

The previous prime is 137172907. The next prime is 137172961. The reversal of 137172960 is 69271731.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137172961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488020 + ... + 488300.

It is an arithmetic number, because the mean of its divisors is an integer number (2531655).

Almost surely, 2^137172960 is an apocalyptic number.

137172960 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 137172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243038880).

137172960 is an abundant number, since it is smaller than the sum of its proper divisors (348904800).

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

137172960 is a wasteful number, since it uses less digits than its factorization.

137172960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 137172960 is about 11712.0860652575. The cubic root of 137172960 is about 515.7305245183.

The spelling of 137172960 in words is "one hundred thirty-seven million, one hundred seventy-two thousand, nine hundred sixty".