138319 has 2 divisors, whose sum is σ = 138320. Its totient is φ = 138318.

The previous prime is 138311. The next prime is 138323. The reversal of 138319 is 913831.

138319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 138319 - 2³ = 138311 is a prime.

It is a super-2 number, since 2×138319² = 38264291522, which contains 22 as substring.

It is equal to p₁₂₈₆₈ and since 138319 and 12868 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 138293 and 138302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69159 + 69160.

It is an arithmetic number, because the mean of its divisors is an integer number (69160).

2¹³⁸³¹⁹ is an apocalyptic number.

138319 is a deficient number, since it is larger than the sum of its proper divisors (1).

138319 is an equidigital number, since it uses as much as digits as its factorization.

138319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 25.

The square root of 138319 is about 371.9126241471. The cubic root of 138319 is about 51.7162802419.

The spelling of 138319 in words is "one hundred thirty-eight thousand, three hundred nineteen".