138729055104 has 640 divisors, whose sum is σ = 461255097600. Its totient is φ = 41188663296.

The previous prime is 138729055097. The next prime is 138729055121. The reversal of 138729055104 is 401550927831.

138729055104 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 2 + 90 + 551 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138729055104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 303564444 + ... + 303564900.

It is an arithmetic number, because the mean of its divisors is an integer number (720711090).

Almost surely, 2^138729055104 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 138729055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230627548800).

138729055104 is an abundant number, since it is smaller than the sum of its proper divisors (322526042496).

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

138729055104 is a wasteful number, since it uses less digits than its factorization.

138729055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 138729055104 in words is "one hundred thirty-eight billion, seven hundred twenty-nine million, fifty-five thousand, one hundred four".