138553521807376 has 135 divisors (see below), whose sum is σ = 296343203157687. Its totient is φ = 62726527368960.

The previous prime is 138553521807361. The next prime is 138553521807401. The reversal of 138553521807376 is 673708125355831.

The square root of 138553521807376 is 11770876.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3596044712976 + 134957477094400 = 1896324^2 + 11617120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32440532121 + ... + 32440536391.

Almost surely, 2^{138553521807376} is an apocalyptic number.

138553521807376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138553521807376 is the 11770876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138553521807376

138553521807376 is an abundant number, since it is smaller than the sum of its proper divisors (157789681350311).

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

138553521807376 is an frugal number, since it uses more digits than its factorization.

138553521807376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 64.

The spelling of 138553521807376 in words is "one hundred thirty-eight trillion, five hundred fifty-three billion, five hundred twenty-one million, eight hundred seven thousand, three hundred seventy-six".