138399836807716 has 135 divisors (see below), whose sum is σ = 268923934489315. Its totient is φ = 62322799369600.

The previous prime is 138399836807681. The next prime is 138399836807717. The reversal of 138399836807716 is 617708638993831.

The square root of 138399836807716 is 11764346.

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 51989723952100 + 86410112855616 = 7210390^2 + 9295704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138399836807717) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 492526109496 + ... + 492526109776.

Almost surely, 2^{138399836807716} is an apocalyptic number.

138399836807716 is the 11764346-th square number.

It is an amenable number.

138399836807716 is a deficient number, since it is larger than the sum of its proper divisors (130524097681599).

138399836807716 is an frugal number, since it uses more digits than its factorization.

138399836807716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 79.

The spelling of 138399836807716 in words is "one hundred thirty-eight trillion, three hundred ninety-nine billion, eight hundred thirty-six million, eight hundred seven thousand, seven hundred sixteen".