138933 has 12 divisors (see below), whose sum is σ = 205920. Its totient is φ = 90216.

The previous prime is 138923. The next prime is 138937. The reversal of 138933 is 339831.

It is not a de Polignac number, because 138933 - 2⁴ = 138917 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 138897 and 138906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (17160).

2¹³⁸⁹³³ is an apocalyptic number.

It is an amenable number.

138933 is a deficient number, since it is larger than the sum of its proper divisors (66987).

138933 is a wasteful number, since it uses less digits than its factorization.

138933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 405 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 138933 is about 372.7371728175. The cubic root of 138933 is about 51.7926903914.

The spelling of 138933 in words is "one hundred thirty-eight thousand, nine hundred thirty-three".