137313792 has 400 divisors, whose sum is σ = 522859392. Its totient is φ = 34836480.

The previous prime is 137313773. The next prime is 137313793. The reversal of 137313792 is 297313731.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137313793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3193323 + ... + 3193365.

Almost surely, 2^137313792 is an apocalyptic number.

137313792 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 137313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261429696).

137313792 is an abundant number, since it is smaller than the sum of its proper divisors (385545600).

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

137313792 is an equidigital number, since it uses as much as digits as its factorization.

137313792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its digits is 23814, while the sum is 36.

The square root of 137313792 is about 11718.0967737939. The cubic root of 137313792 is about 515.9069599691.

The spelling of 137313792 in words is "one hundred thirty-seven million, three hundred thirteen thousand, seven hundred ninety-two".