138169810944 has 315 divisors, whose sum is σ = 439070019115. Its totient is φ = 41869639680.

The previous prime is 138169810921. The next prime is 138169810969. The reversal of 138169810944 is 449018961831.

The square root of 138169810944 is 371712.

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

It is a super-2 number, since 2×138169810944² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12560891899 + ... + 12560891909.

Almost surely, 2^138169810944 is an apocalyptic number.

138169810944 is the 371712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138169810944

138169810944 is an abundant number, since it is smaller than the sum of its proper divisors (300900208171).

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

138169810944 is an frugal number, since it uses more digits than its factorization.

138169810944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 138169810944 in words is "one hundred thirty-eight billion, one hundred sixty-nine million, eight hundred ten thousand, nine hundred forty-four".