137912320 has 224 divisors, whose sum is σ = 418356288. Its totient is φ = 42467328.

The previous prime is 137912311. The next prime is 137912351. The reversal of 137912320 is 23219731.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 3727342 + ... + 3727378.

It is an arithmetic number, because the mean of its divisors is an integer number (1867662).

Almost surely, 2^137912320 is an apocalyptic number.

137912320 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 137912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209178144).

137912320 is an abundant number, since it is smaller than the sum of its proper divisors (280443968).

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

137912320 is an equidigital number, since it uses as much as digits as its factorization.

137912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 137912320 is about 11743.6076228730. The cubic root of 137912320 is about 516.6554577288.

The spelling of 137912320 in words is "one hundred thirty-seven million, nine hundred twelve thousand, three hundred twenty".