138363912729 has 27 divisors (see below), whose sum is σ = 232502149503. Its totient is φ = 79060629312.

The previous prime is 138363912683. The next prime is 138363912749. The reversal of 138363912729 is 927219363831.

The square root of 138363912729 is 371973.

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

138363912729 is a `hidden beast` number, since 1 + 3 + 8 + 363 + 9 + 1 + 272 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129481227225 + 8882685504 = 359835^2 + 94248^2 .

It is not a de Polignac number, because 138363912729 - 2¹¹ = 138363910681 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138363912749) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7802577 + ... + 7820289.

Almost surely, 2^138363912729 is an apocalyptic number.

138363912729 is the 371973-rd square number.

138363912729 is the 185987-th centered octagonal number.

It is an amenable number.

138363912729 is a deficient number, since it is larger than the sum of its proper divisors (94138236774).

138363912729 is an frugal number, since it uses more digits than its factorization.

138363912729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35446 (or 17723 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 138363912729 in words is "one hundred thirty-eight billion, three hundred sixty-three million, nine hundred twelve thousand, seven hundred twenty-nine".