138711122304 has 128 divisors (see below), whose sum is σ = 375072768000. Its totient is φ = 45413068800.

The previous prime is 138711122293. The next prime is 138711122317. The reversal of 138711122304 is 403221117831.

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

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, 5147137 + ... + 5174015.

It is an arithmetic number, because the mean of its divisors is an integer number (2930256000).

Almost surely, 2^138711122304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138711122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187536384000).

138711122304 is an abundant number, since it is smaller than the sum of its proper divisors (236361645696).

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

138711122304 is a wasteful number, since it uses less digits than its factorization.

138711122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27136 (or 27124 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 138711122304 in words is "one hundred thirty-eight billion, seven hundred eleven million, one hundred twenty-two thousand, three hundred four".