138519 has 6 divisors (see below), whose sum is σ = 200096. Its totient is φ = 92340.

The previous prime is 138517. The next prime is 138547. The reversal of 138519 is 915831.

138519 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 138519 - 2¹ = 138517 is a prime.

It is a super-2 number, since 2×138519² = 38375026722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138492 and 138501.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138519.

It is not an unprimeable number, because it can be changed into a prime (138511) 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, 7687 + ... + 7704.

2¹³⁸⁵¹⁹ is an apocalyptic number.

138519 is a deficient number, since it is larger than the sum of its proper divisors (61577).

138519 is a wasteful number, since it uses less digits than its factorization.

138519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15397 (or 15394 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 138519 is about 372.1814073809. The cubic root of 138519 is about 51.7411943289.

The spelling of 138519 in words is "one hundred thirty-eight thousand, five hundred nineteen".