138507 has 8 divisors (see below), whose sum is σ = 186576. Its totient is φ = 91392.

The previous prime is 138497. The next prime is 138511. The reversal of 138507 is 705831.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 138507 - 2⁸ = 138251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (23322).

2¹³⁸⁵⁰⁷ is an apocalyptic number.

138507 is a deficient number, since it is larger than the sum of its proper divisors (48069).

138507 is a wasteful number, since it uses less digits than its factorization.

138507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 138507 is about 372.1652858610. The cubic root of 138507 is about 51.7397001602.

The spelling of 138507 in words is "one hundred thirty-eight thousand, five hundred seven".