138676605984 has 360 divisors, whose sum is σ = 499409562960. Its totient is φ = 37535871744.

The previous prime is 138676605979. The next prime is 138676605997. The reversal of 138676605984 is 489506676831.

138676605984 is a `hidden beast` number, since 1 + 38 + 6 + 7 + 6 + 6 + 0 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2384419 + ... + 2441885.

It is an arithmetic number, because the mean of its divisors is an integer number (1387248786).

Almost surely, 2^138676605984 is an apocalyptic number.

138676605984 is a gapful number since it is divisible by the number (14) 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 138676605984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249704781480).

138676605984 is an abundant number, since it is smaller than the sum of its proper divisors (360732956976).

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

138676605984 is a wasteful number, since it uses less digits than its factorization.

138676605984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57522 (or 57498 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 138676605984 in words is "one hundred thirty-eight billion, six hundred seventy-six million, six hundred five thousand, nine hundred eighty-four".