138369 has 16 divisors (see below), whose sum is σ = 230400. Its totient is φ = 71760.

The previous prime is 138349. The next prime is 138371. The reversal of 138369 is 963831.

It is not a de Polignac number, because 138369 - 2⁵ = 138337 is a prime.

It is a super-2 number, since 2×138369² = 38291960322, which contains 22 as substring.

It is a Curzon number.

138369 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (138319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2¹³⁸³⁶⁹ is an apocalyptic number.

It is an amenable number.

138369 is a deficient number, since it is larger than the sum of its proper divisors (92031).

138369 is a wasteful number, since it uses less digits than its factorization.

138369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620.

The product of its digits is 3888, while the sum is 30.

The square root of 138369 is about 371.9798381633. The cubic root of 138369 is about 51.7225110140.

The spelling of 138369 in words is "one hundred thirty-eight thousand, three hundred sixty-nine".