138657182689 has 3 divisors (see below), whose sum is σ = 138657555057. Its totient is φ = 138656810322.

The previous prime is 138657182597. The next prime is 138657182701. The reversal of 138657182689 is 986281756831.

The square root of 138657182689 is 372367.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 138657182689 - 2¹⁹ = 138656658401 is a prime.

It is a super-2 number, since 2×138657182689² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138657182689.

It is not an unprimeable number, because it can be changed into a prime (138657182789) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 186184 + ... + 558550.

It is an arithmetic number, because the mean of its divisors is an integer number (46219185019).

Almost surely, 2^138657182689 is an apocalyptic number.

138657182689 is the 372367-th square number.

138657182689 is the 186184-th centered octagonal number.

It is an amenable number.

138657182689 is a deficient number, since it is larger than the sum of its proper divisors (372368).

138657182689 is an frugal number, since it uses more digits than its factorization.

138657182689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744734 (or 372367 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 64.

Multiplying 138657182689 by its sum of digits (64), we get a square (8874059692096 = 2978936²).

The spelling of 138657182689 in words is "one hundred thirty-eight billion, six hundred fifty-seven million, one hundred eighty-two thousand, six hundred eighty-nine".