138964 has 18 divisors (see below), whose sum is σ = 283290. Its totient is φ = 59472.

The previous prime is 138959. The next prime is 138967. The reversal of 138964 is 469831.

138964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 44100 = 308^2 + 210^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159 + ... + 550.

2¹³⁸⁹⁶⁴ is an apocalyptic number.

138964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138964 is an abundant number, since it is smaller than the sum of its proper divisors (144326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138964 is a wasteful number, since it uses less digits than its factorization.

138964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 718 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 138964 is about 372.7787547594. The cubic root of 138964 is about 51.7965422576.

The spelling of 138964 in words is "one hundred thirty-eight thousand, nine hundred sixty-four".