138314 has 8 divisors (see below), whose sum is σ = 226368. Its totient is φ = 62860.

The previous prime is 138311. The next prime is 138319. The reversal of 138314 is 413831.

It is a happy number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138311) 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 3 ways as a sum of consecutive naturals, for example, 3122 + ... + 3165.

It is an arithmetic number, because the mean of its divisors is an integer number (28296).

2¹³⁸³¹⁴ is an apocalyptic number.

138314 is a deficient number, since it is larger than the sum of its proper divisors (88054).

138314 is a wasteful number, since it uses less digits than its factorization.

138314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300.

The product of its digits is 288, while the sum is 20.

The square root of 138314 is about 371.9059020774. The cubic root of 138314 is about 51.7156570821.

The spelling of 138314 in words is "one hundred thirty-eight thousand, three hundred fourteen".