138213 has 8 divisors (see below), whose sum is σ = 204800. Its totient is φ = 92124.

The previous prime is 138209. The next prime is 138239. The reversal of 138213 is 312831.

It is not a de Polignac number, because 138213 - 2² = 138209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138283) 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, 2533 + ... + 2586.

It is an arithmetic number, because the mean of its divisors is an integer number (25600).

2¹³⁸²¹³ is an apocalyptic number.

It is an amenable number.

138213 is a deficient number, since it is larger than the sum of its proper divisors (66587).

138213 is an equidigital number, since it uses as much as digits as its factorization.

138213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5122 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 138213 is about 371.7700902440. The cubic root of 138213 is about 51.7030660374.

It can be divided in two parts, 13821 and 3, that added together give a cube (13824 = 24³).

The spelling of 138213 in words is "one hundred thirty-eight thousand, two hundred thirteen".