138846 has 16 divisors (see below), whose sum is σ = 282384. Its totient is φ = 45504.

The previous prime is 138841. The next prime is 138863. The reversal of 138846 is 648831.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138846.

It is not an unprimeable number, because it can be changed into a prime (138841) by changing a digit.

138846 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (17649).

2¹³⁸⁸⁴⁶ is an apocalyptic number.

138846 is an abundant number, since it is smaller than the sum of its proper divisors (143538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138846 is a wasteful number, since it uses less digits than its factorization.

138846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395.

The product of its digits is 4608, while the sum is 30.

The square root of 138846 is about 372.6204503245. The cubic root of 138846 is about 51.7818772538.

The spelling of 138846 in words is "one hundred thirty-eight thousand, eight hundred forty-six".