8138 has 8 divisors (see below), whose sum is σ = 13188. Its totient is φ = 3744.

The previous prime is 8123. The next prime is 8147. The reversal of 8138 is 8318.

It can be written as a sum of positive squares in 2 ways, for example, as 5929 + 2209 = 77^2 + 47^2 .

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

It is a congruent number.

It is an unprimeable number.

8138 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 3 ways as a sum of consecutive naturals, for example, 131 + ... + 182.

2⁸¹³⁸ is an apocalyptic number.

8138 is a deficient number, since it is larger than the sum of its proper divisors (5050).

8138 is a wasteful number, since it uses less digits than its factorization.

8138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328.

The product of its digits is 192, while the sum is 20.

The square root of 8138 is about 90.2108640908. The cubic root of 8138 is about 20.1143450150.

Subtracting from 8138 its sum of digits (20), we obtain a palindrome (8118).

The spelling of 8138 in words is "eight thousand, one hundred thirty-eight".