137379377960 has 128 divisors (see below), whose sum is σ = 359992563840. Its totient is φ = 47017231360.

The previous prime is 137379377843. The next prime is 137379377981. The reversal of 137379377960 is 69773973731.

It is a junction number, because it is equal to n+sod(n) for n = 137379377893 and 137379377902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829187 + ... + 980973.

It is an arithmetic number, because the mean of its divisors is an integer number (2812441905).

Almost surely, 2^137379377960 is an apocalyptic number.

137379377960 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 137379377960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179996281920).

137379377960 is an abundant number, since it is smaller than the sum of its proper divisors (222613185880).

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

137379377960 is a wasteful number, since it uses less digits than its factorization.

137379377960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151848 (or 151822 counting only the distinct ones).

The product of its (nonzero) digits is 31505922, while the sum is 62.

The spelling of 137379377960 in words is "one hundred thirty-seven billion, three hundred seventy-nine million, three hundred seventy-seven thousand, nine hundred sixty".