137932320 has 96 divisors (see below), whose sum is σ = 438504192. Its totient is φ = 36442112.

The previous prime is 137932283. The next prime is 137932349. The reversal of 137932320 is 23239731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52969 + ... + 55511.

It is an arithmetic number, because the mean of its divisors is an integer number (4567752).

Almost surely, 2^137932320 is an apocalyptic number.

137932320 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 137932320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219252096).

137932320 is an abundant number, since it is smaller than the sum of its proper divisors (300571872).

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

137932320 is a wasteful number, since it uses less digits than its factorization.

137932320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 137932320 is about 11744.4591190910. The cubic root of 137932320 is about 516.6804315907.

The spelling of 137932320 in words is "one hundred thirty-seven million, nine hundred thirty-two thousand, three hundred twenty".