138084 has 24 divisors (see below), whose sum is σ = 331968. Its totient is φ = 44640.

The previous prime is 138079. The next prime is 138101. The reversal of 138084 is 480831.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138084.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

2¹³⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

138084 is an abundant number, since it is smaller than the sum of its proper divisors (193884).

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

138084 is a wasteful number, since it uses less digits than its factorization.

138084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 138084 is about 371.5965554200. The cubic root of 138084 is about 51.6869754824.

The spelling of 138084 in words is "one hundred thirty-eight thousand, eighty-four".