138982375008 has 216 divisors, whose sum is σ = 429622561368. Its totient is φ = 42587209728.

The previous prime is 138982374983. The next prime is 138982375079. The reversal of 138982375008 is 800573289831.

138982375008 is a `hidden beast` number, since 13 + 8 + 98 + 2 + 37 + 500 + 8 = 666.

138982375008 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 2×138982375008² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3559560 + ... + 3598392.

Almost surely, 2^138982375008 is an apocalyptic number.

138982375008 is a gapful number since it is divisible by the number (18) 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 138982375008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214811280684).

138982375008 is an abundant number, since it is smaller than the sum of its proper divisors (290640186360).

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

138982375008 is a wasteful number, since it uses less digits than its factorization.

138982375008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38926 (or 38898 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 138982375008 in words is "one hundred thirty-eight billion, nine hundred eighty-two million, three hundred seventy-five thousand, eight".