138997734976 has 63 divisors (see below), whose sum is σ = 285840633169. Its totient is φ = 67060598528.

The previous prime is 138997734971. The next prime is 138997734977. The reversal of 138997734976 is 679437799831.

The square root of 138997734976 is 372824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72887040576 + 66110694400 = 269976^2 + 257120^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138997734899 and 138997734908.

It is not an unprimeable number, because it can be changed into a prime (138997734971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86494365 + ... + 86495971.

Almost surely, 2^138997734976 is an apocalyptic number.

138997734976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138997734976 is the 372824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138997734976

138997734976 is an abundant number, since it is smaller than the sum of its proper divisors (146842898193).

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

138997734976 is an frugal number, since it uses more digits than its factorization.

138997734976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 1638 counting only the distinct ones).

The product of its digits is 432081216, while the sum is 73.

The spelling of 138997734976 in words is "one hundred thirty-eight billion, nine hundred ninety-seven million, seven hundred thirty-four thousand, nine hundred seventy-six".