138368169 has 15 divisors (see below), whose sum is σ = 206856397. Its totient is φ = 92174868.

The previous prime is 138368129. The next prime is 138368171. The reversal of 138368169 is 961863831.

It is a happy number.

The square root of 138368169 is 11763.

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

138368169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138368169 - 2⁹ = 138367657 is a prime.

It is a super-2 number, since 2×138368169² = 38291500384825122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138368119) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 105214 + ... + 106520.

Almost surely, 2^138368169 is an apocalyptic number.

138368169 is the 11763-rd square number.

138368169 is the 5882-nd centered octagonal number.

It is an amenable number.

138368169 is a deficient number, since it is larger than the sum of its proper divisors (68488228).

138368169 is an frugal number, since it uses more digits than its factorization.

138368169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 1310 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The cubic root of 138368169 is about 517.2240747080.

Multiplying 138368169 by its product of digits (186624), we get a square (25822821171456 = 5081616²).

The spelling of 138368169 in words is "one hundred thirty-eight million, three hundred sixty-eight thousand, one hundred sixty-nine".