138825 has 18 divisors (see below), whose sum is σ = 249054. Its totient is φ = 73920.

The previous prime is 138821. The next prime is 138829. The reversal of 138825 is 528831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138821) and next prime (138829).

It can be written as a sum of positive squares in 3 ways, for example, as 441 + 138384 = 21^2 + 372^2 .

It is not a de Polignac number, because 138825 - 2² = 138821 is a prime.

138825 is a lucky number.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (138821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 84 + ... + 533.

2¹³⁸⁸²⁵ is an apocalyptic number.

138825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138825 is a deficient number, since it is larger than the sum of its proper divisors (110229).

138825 is a wasteful number, since it uses less digits than its factorization.

138825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 138825 is about 372.5922704512. The cubic root of 138825 is about 51.7792665094.

The spelling of 138825 in words is "one hundred thirty-eight thousand, eight hundred twenty-five".