138388128444 has 72 divisors (see below), whose sum is σ = 352588214160. Its totient is φ = 45764808192.

The previous prime is 138388128443. The next prime is 138388128479. The reversal of 138388128444 is 444821883831.

138388128444 is a `hidden beast` number, since 138 + 388 + 12 + 84 + 44 = 666.

138388128444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138388128444² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138388128443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2765454 + ... + 2815050.

It is an arithmetic number, because the mean of its divisors is an integer number (4897058530).

Almost surely, 2^138388128444 is an apocalyptic number.

It is an amenable number.

138388128444 is an abundant number, since it is smaller than the sum of its proper divisors (214200085716).

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

138388128444 is a wasteful number, since it uses less digits than its factorization.

138388128444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50219 (or 50214 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 138388128444 in words is "one hundred thirty-eight billion, three hundred eighty-eight million, one hundred twenty-eight thousand, four hundred forty-four".