137031392064 has 224 divisors, whose sum is σ = 429263251200. Its totient is φ = 37747261440.

The previous prime is 137031392021. The next prime is 137031392083. The reversal of 137031392064 is 460293130731.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32308984 + ... + 32313224.

It is an arithmetic number, because the mean of its divisors is an integer number (1916353800).

Almost surely, 2^137031392064 is an apocalyptic number.

137031392064 is a gapful number since it is divisible by the number (14) 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 137031392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214631625600).

137031392064 is an abundant number, since it is smaller than the sum of its proper divisors (292231859136).

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

137031392064 is a wasteful number, since it uses less digits than its factorization.

137031392064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 137031392064 in words is "one hundred thirty-seven billion, thirty-one million, three hundred ninety-two thousand, sixty-four".