138583399680 has 864 divisors, whose sum is σ = 554325932160. Its totient is φ = 31647006720.

The previous prime is 138583399663. The next prime is 138583399711. The reversal of 138583399680 is 86993385831.

138583399680 is a `hidden beast` number, since 13 + 8 + 583 + 39 + 9 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158019402 + ... + 158020278.

It is an arithmetic number, because the mean of its divisors is an integer number (641580940).

Almost surely, 2^138583399680 is an apocalyptic number.

138583399680 is a gapful number since it is divisible by the number (10) 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 138583399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277162966080).

138583399680 is an abundant number, since it is smaller than the sum of its proper divisors (415742532480).

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

138583399680 is a wasteful number, since it uses less digits than its factorization.

138583399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 138583399680 in words is "one hundred thirty-eight billion, five hundred eighty-three million, three hundred ninety-nine thousand, six hundred eighty".