138853 has 8 divisors (see below), whose sum is σ = 163296. Its totient is φ = 116400.

The previous prime is 138841. The next prime is 138863. The reversal of 138853 is 358831.

138853 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 138853 - 2⁵ = 138821 is a prime.

It is a Duffinian number.

138853 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138863) 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, 343 + ... + 628.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2¹³⁸⁸⁵³ is an apocalyptic number.

138853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138853 is a deficient number, since it is larger than the sum of its proper divisors (24443).

138853 is a wasteful number, since it uses less digits than its factorization.

138853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995.

The product of its digits is 2880, while the sum is 28.

The square root of 138853 is about 372.6298431420. The cubic root of 138853 is about 51.7827474434.

It can be divided in two parts, 1388 and 53, that added together give a palindrome (1441).

The spelling of 138853 in words is "one hundred thirty-eight thousand, eight hundred fifty-three".