137032320 has 128 divisors (see below), whose sum is σ = 440640000. Its totient is φ = 36220928.

The previous prime is 137032319. The next prime is 137032327. The reversal of 137032320 is 23230731.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (137032327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285841 + ... + 286319.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2^137032320 is an apocalyptic number.

137032320 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 137032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320000).

137032320 is an abundant number, since it is smaller than the sum of its proper divisors (303607680).

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

137032320 is a wasteful number, since it uses less digits than its factorization.

137032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 137032320 is about 11706.0804712765. The cubic root of 137032320 is about 515.5542090510.

The spelling of 137032320 in words is "one hundred thirty-seven million, thirty-two thousand, three hundred twenty".