138724313734656 has 1200 divisors, whose sum is σ = 456829980791184. Its totient is φ = 41885674242048.

The previous prime is 138724313734519. The next prime is 138724313734703. The reversal of 138724313734656 is 656437313427831.

138724313734656 is a `hidden beast` number, since 1 + 3 + 8 + 72 + 4 + 31 + 3 + 73 + 465 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138724313734593 and 138724313734602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 84743013070 + ... + 84743014706.

Almost surely, 2^{138724313734656} is an apocalyptic number.

138724313734656 is a gapful number since it is divisible by the number (16) 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 138724313734656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228414990395592).

138724313734656 is an abundant number, since it is smaller than the sum of its proper divisors (318105667056528).

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

138724313734656 is a wasteful number, since it uses less digits than its factorization.

138724313734656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1875 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 63.

The spelling of 138724313734656 in words is "one hundred thirty-eight trillion, seven hundred twenty-four billion, three hundred thirteen million, seven hundred thirty-four thousand, six hundred fifty-six".