138625 has 8 divisors (see below), whose sum is σ = 173160. Its totient is φ = 110800.

The previous prime is 138617. The next prime is 138629. The reversal of 138625 is 526831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 101761 = 192^2 + 319^2 .

It is not a de Polignac number, because 138625 - 2³ = 138617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

138625 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 138625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138629) 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 7 ways as a sum of consecutive naturals, for example, 430 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (21645).

2¹³⁸⁶²⁵ is an apocalyptic number.

It is an amenable number.

138625 is a deficient number, since it is larger than the sum of its proper divisors (34535).

138625 is an equidigital number, since it uses as much as digits as its factorization.

138625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 138625 is about 372.3237838226. The cubic root of 138625 is about 51.7543890728.

The spelling of 138625 in words is "one hundred thirty-eight thousand, six hundred twenty-five".