138125 has 20 divisors (see below), whose sum is σ = 196812. Its totient is φ = 96000.

The previous prime is 138113. The next prime is 138139. The reversal of 138125 is 521831.

138125 = 60² + 61² + ... + 85².

138125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 111556 + 26569 = 334^2 + 163^2 .

It is not a de Polignac number, because 138125 - 2⁸ = 137869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 138097 and 138106.

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 138125.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8117 + ... + 8133.

2¹³⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

138125 is a deficient number, since it is larger than the sum of its proper divisors (58687).

138125 is an equidigital number, since it uses as much as digits as its factorization.

138125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 35 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 138125 is about 371.6517186830. The cubic root of 138125 is about 51.6920906207.

Adding to 138125 its reverse (521831), we get a palindrome (659956).

It can be divided in two parts, 13 and 8125, that multiplied together give a square (105625 = 325²).

The spelling of 138125 in words is "one hundred thirty-eight thousand, one hundred twenty-five".