138286970160 has 160 divisors (see below), whose sum is σ = 442981528320. Its totient is φ = 35659367424.

The previous prime is 138286970141. The next prime is 138286970189. The reversal of 138286970160 is 61079682831.

It is a super-2 number, since 2×138286970160² (a number of 23 digits) contains 22 as substring.

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, 1399671 + ... + 1495209.

It is an arithmetic number, because the mean of its divisors is an integer number (2768634552).

Almost surely, 2^138286970160 is an apocalyptic number.

138286970160 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 138286970160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221490764160).

138286970160 is an abundant number, since it is smaller than the sum of its proper divisors (304694558160).

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

138286970160 is a wasteful number, since it uses less digits than its factorization.

138286970160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95755 (or 95749 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 138286970160 in words is "one hundred thirty-eight billion, two hundred eighty-six million, nine hundred seventy thousand, one hundred sixty".