138276884736 has 243 divisors, whose sum is σ = 408546034533. Its totient is φ = 44979701760.

The previous prime is 138276884717. The next prime is 138276884743. The reversal of 138276884736 is 637488672831.

The square root of 138276884736 is 371856.

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

138276884736 is a `hidden beast` number, since 1 + 3 + 82 + 7 + 6 + 88 + 473 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4496507136 + 133780377600 = 67056^2 + 365760^2 .

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 26 ways as a sum of consecutive naturals, for example, 1088794305 + ... + 1088794431.

Almost surely, 2^138276884736 is an apocalyptic number.

138276884736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138276884736 is the 371856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138276884736

138276884736 is an abundant number, since it is smaller than the sum of its proper divisors (270269149797).

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

138276884736 is an frugal number, since it uses more digits than its factorization.

138276884736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 193 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 138276884736 in words is "one hundred thirty-eight billion, two hundred seventy-six million, eight hundred eighty-four thousand, seven hundred thirty-six".