138282 has 16 divisors (see below), whose sum is σ = 291360. Its totient is φ = 43632.

The previous prime is 138251. The next prime is 138283. The reversal of 138282 is 282831.

It is a d-powerful number, because it can be written as 1 + 3⁸ + 2⁷ + 8 + 8³ + 2¹⁷ .

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

138282 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (18210).

2¹³⁸²⁸² is an apocalyptic number.

138282 is an abundant number, since it is smaller than the sum of its proper divisors (153078).

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

138282 is a wasteful number, since it uses less digits than its factorization.

138282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237.

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

The square root of 138282 is about 371.8628779537. The cubic root of 138282 is about 51.7116685037.

It can be divided in two parts, 1 and 38282, that added together give a palindrome (38283).

The spelling of 138282 in words is "one hundred thirty-eight thousand, two hundred eighty-two".