137320392 has 64 divisors (see below), whose sum is σ = 375840000. Its totient is φ = 41464640.

The previous prime is 137320369. The next prime is 137320397. The reversal of 137320392 is 293023731.

137320392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137320397) 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, 90859 + ... + 92357.

It is an arithmetic number, because the mean of its divisors is an integer number (5872500).

Almost surely, 2^137320392 is an apocalyptic number.

137320392 is a gapful number since it is divisible by the number (12) 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 137320392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187920000).

137320392 is an abundant number, since it is smaller than the sum of its proper divisors (238519608).

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

137320392 is a wasteful number, since it uses less digits than its factorization.

137320392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1862 counting only the distinct ones).

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

The square root of 137320392 is about 11718.3783861079. The cubic root of 137320392 is about 515.9152255418.

The spelling of 137320392 in words is "one hundred thirty-seven million, three hundred twenty thousand, three hundred ninety-two".