137092792320 has 432 divisors, whose sum is σ = 518703402672. Its totient is φ = 33218887680.

The previous prime is 137092792297. The next prime is 137092792373. The reversal of 137092792320 is 23297290731.

It is a happy number.

137092792320 is a `hidden beast` number, since 1 + 370 + 9 + 279 + 2 + 3 + 2 + 0 = 666.

137092792320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64879584 + ... + 64881696.

It is an arithmetic number, because the mean of its divisors is an integer number (1200702321).

Almost surely, 2^137092792320 is an apocalyptic number.

137092792320 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 137092792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259351701336).

137092792320 is an abundant number, since it is smaller than the sum of its proper divisors (381610610352).

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

137092792320 is an equidigital number, since it uses as much as digits as its factorization.

137092792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 137092792320 in words is "one hundred thirty-seven billion, ninety-two million, seven hundred ninety-two thousand, three hundred twenty".