138765275264 has 128 divisors (see below), whose sum is σ = 346728453120. Its totient is φ = 53740016640.

The previous prime is 138765275261. The next prime is 138765275281. The reversal of 138765275264 is 462572567831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (138765275261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603799 + ... + 1688105.

It is an arithmetic number, because the mean of its divisors is an integer number (2708816040).

Almost surely, 2^138765275264 is an apocalyptic number.

138765275264 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 138765275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173364226560).

138765275264 is an abundant number, since it is smaller than the sum of its proper divisors (207963177856).

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

138765275264 is a wasteful number, since it uses less digits than its factorization.

138765275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84506 (or 84494 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 56.

The spelling of 138765275264 in words is "one hundred thirty-eight billion, seven hundred sixty-five million, two hundred seventy-five thousand, two hundred sixty-four".