138338 has 6 divisors (see below), whose sum is σ = 208299. Its totient is φ = 68906.

The previous prime is 138337. The next prime is 138349. The reversal of 138338 is 833831.

138338 = 12⁴ + 13⁴ + ... + 15⁴.

It can be written as a sum of positive squares in only one way, i.e., 69169 + 69169 = 263^2 + 263^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=263.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138337) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 395 + ... + 657.

2¹³⁸³³⁸ is an apocalyptic number.

138338 is a deficient number, since it is larger than the sum of its proper divisors (69961).

138338 is an frugal number, since it uses more digits than its factorization.

138338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 265 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 138338 is about 371.9381669041. The cubic root of 138338 is about 51.7186481121.

The spelling of 138338 in words is "one hundred thirty-eight thousand, three hundred thirty-eight".