138796050972672 has 192 divisors, whose sum is σ = 405791169179760. Its totient is φ = 45707928403968.

The previous prime is 138796050972637. The next prime is 138796050972833. The reversal of 138796050972672 is 276279050697831.

138796050972672 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 9 + 605 + 0 + 9 + 7 + 2 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 138796050972672.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21642543 + ... + 27312849.

Almost surely, 2^{138796050972672} is an apocalyptic number.

138796050972672 is a gapful number since it is divisible by the number (12) 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 138796050972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202895584589880).

138796050972672 is an abundant number, since it is smaller than the sum of its proper divisors (266995118207088).

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

138796050972672 is an frugal number, since it uses more digits than its factorization.

138796050972672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5670426 (or 5670395 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 138796050972672 in words is "one hundred thirty-eight trillion, seven hundred ninety-six billion, fifty million, nine hundred seventy-two thousand, six hundred seventy-two".