138308980337 has 16 divisors (see below), whose sum is σ = 152525191104. Its totient is φ = 124373088000.

The previous prime is 138308980291. The next prime is 138308980339. The reversal of 138308980337 is 733089803831.

138308980337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 138308980337 - 2⁸ = 138308980081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138308980339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260162 + ... + 586772.

It is an arithmetic number, because the mean of its divisors is an integer number (9532824444).

Almost surely, 2^138308980337 is an apocalyptic number.

It is an amenable number.

138308980337 is a deficient number, since it is larger than the sum of its proper divisors (14216210767).

138308980337 is a wasteful number, since it uses less digits than its factorization.

138308980337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327040.

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 138308980337 in words is "one hundred thirty-eight billion, three hundred eight million, nine hundred eighty thousand, three hundred thirty-seven".