138585 has 8 divisors (see below), whose sum is σ = 221760. Its totient is φ = 73904.

The previous prime is 138581. The next prime is 138587. The reversal of 138585 is 585831.

It is a happy number.

138585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138585 - 2² = 138581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4605 + ... + 4634.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2¹³⁸⁵⁸⁵ is an apocalyptic number.

138585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138585 is a deficient number, since it is larger than the sum of its proper divisors (83175).

138585 is an equidigital number, since it uses as much as digits as its factorization.

138585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247.

The product of its digits is 4800, while the sum is 30.

The square root of 138585 is about 372.2700632605. The cubic root of 138585 is about 51.7494107147.

The spelling of 138585 in words is "one hundred thirty-eight thousand, five hundred eighty-five".