138885331104 has 192 divisors, whose sum is σ = 442389185280. Its totient is φ = 42131819520.

The previous prime is 138885331097. The next prime is 138885331139. The reversal of 138885331104 is 401133588831.

It is a happy number.

138885331104 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 8 + 533 + 1 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138885331104.

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, 710394 + ... + 884550.

It is an arithmetic number, because the mean of its divisors is an integer number (2304110340).

Almost surely, 2^138885331104 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 138885331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221194592640).

138885331104 is an abundant number, since it is smaller than the sum of its proper divisors (303503854176).

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

138885331104 is a wasteful number, since it uses less digits than its factorization.

138885331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174260 (or 174246 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 138885331104 in words is "one hundred thirty-eight billion, eight hundred eighty-five million, three hundred thirty-one thousand, one hundred four".