137689457920 has 144 divisors (see below), whose sum is σ = 379895943168. Its totient is φ = 46835712000.

The previous prime is 137689457837. The next prime is 137689457957. The reversal of 137689457920 is 29754986731.

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, 1077420 + ... + 1198420.

It is an arithmetic number, because the mean of its divisors is an integer number (2638166272).

It is a 1-persistent number, because it is pandigital, but 2⋅137689457920 = 275378915840 is not.

Almost surely, 2^137689457920 is an apocalyptic number.

137689457920 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 137689457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189947971584).

137689457920 is an abundant number, since it is smaller than the sum of its proper divisors (242206485248).

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

137689457920 is a wasteful number, since it uses less digits than its factorization.

137689457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121156 (or 121142 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 137689457920 in words is "one hundred thirty-seven billion, six hundred eighty-nine million, four hundred fifty-seven thousand, nine hundred twenty".