138285 has 24 divisors (see below), whose sum is σ = 274560. Its totient is φ = 63072.

The previous prime is 138283. The next prime is 138289. The reversal of 138285 is 582831.

It is a happy number.

It is not a de Polignac number, because 138285 - 2¹ = 138283 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (11440).

2¹³⁸²⁸⁵ is an apocalyptic number.

138285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138285 is a deficient number, since it is larger than the sum of its proper divisors (136275).

138285 is a wasteful number, since it uses less digits than its factorization.

138285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 454 counting only the distinct ones).

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

The square root of 138285 is about 371.8669116767. The cubic root of 138285 is about 51.7120424591.

The spelling of 138285 in words is "one hundred thirty-eight thousand, two hundred eighty-five".