138762513738 has 12 divisors (see below), whose sum is σ = 300652113138. Its totient is φ = 46254171240.

The previous prime is 138762513679. The next prime is 138762513803. The reversal of 138762513738 is 837315267831.

It is a happy number.

138762513738 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 625 + 1 + 3 + 7 + 3 + 8 = 666.

138762513738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 128799878769 + 9962634969 = 358887^2 + 99813^2 .

It is a Curzon number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3854514253 + ... + 3854514288.

Almost surely, 2^138762513738 is an apocalyptic number.

138762513738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

138762513738 is an abundant number, since it is smaller than the sum of its proper divisors (161889599400).

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

138762513738 is a wasteful number, since it uses less digits than its factorization.

138762513738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709028549 (or 7709028546 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 138762513738 in words is "one hundred thirty-eight billion, seven hundred sixty-two million, five hundred thirteen thousand, seven hundred thirty-eight".