138175 has 6 divisors (see below), whose sum is σ = 171368. Its totient is φ = 110520.

The previous prime is 138163. The next prime is 138179. The reversal of 138175 is 571831.

It is not a de Polignac number, because 138175 - 2⁵ = 138143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 5527 = 138175 / (1 + 3 + 8 + 1 + 7 + 5).

It is a Duffinian number.

138175 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138179) 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, 2739 + ... + 2788.

2¹³⁸¹⁷⁵ is an apocalyptic number.

138175 is a deficient number, since it is larger than the sum of its proper divisors (33193).

138175 is an equidigital number, since it uses as much as digits as its factorization.

138175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5532 counting only the distinct ones).

The product of its digits is 840, while the sum is 25.

The square root of 138175 is about 371.7189798759. The cubic root of 138175 is about 51.6983272246.

It can be divided in two parts, 138 and 175, that added together give a palindrome (313).

The spelling of 138175 in words is "one hundred thirty-eight thousand, one hundred seventy-five".