137711311920 has 640 divisors, whose sum is σ = 594861926400. Its totient is φ = 28505198592.

The previous prime is 137711311861. The next prime is 137711311921. The reversal of 137711311920 is 29113117731.

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

It is not an unprimeable number, because it can be changed into a prime (137711311921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10411071 + ... + 10424289.

It is an arithmetic number, because the mean of its divisors is an integer number (929471760).

Almost surely, 2^137711311920 is an apocalyptic number.

137711311920 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 137711311920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297430963200).

137711311920 is an abundant number, since it is smaller than the sum of its proper divisors (457150614480).

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

137711311920 is a wasteful number, since it uses less digits than its factorization.

137711311920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13314 (or 13302 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 137711311920 in words is "one hundred thirty-seven billion, seven hundred eleven million, three hundred eleven thousand, nine hundred twenty".