138513 has 4 divisors (see below), whose sum is σ = 184688. Its totient is φ = 92340.

The previous prime is 138511. The next prime is 138517. The reversal of 138513 is 315831.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 315831 = 3 ⋅105277.

It is not a de Polignac number, because 138513 - 2¹ = 138511 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138513.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138513.

It is not an unprimeable number, because it can be changed into a prime (138511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23083 + ... + 23088.

It is an arithmetic number, because the mean of its divisors is an integer number (46172).

2¹³⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

138513 is a deficient number, since it is larger than the sum of its proper divisors (46175).

138513 is an equidigital number, since it uses as much as digits as its factorization.

138513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46174.

The product of its digits is 360, while the sum is 21.

The square root of 138513 is about 372.1733467082. The cubic root of 138513 is about 51.7404472554.

The spelling of 138513 in words is "one hundred thirty-eight thousand, five hundred thirteen".