138301 has 8 divisors (see below), whose sum is σ = 151200. Its totient is φ = 126000.

The previous prime is 138289. The next prime is 138311. The reversal of 138301 is 103831.

138301 = T₃₈ + T₃₉ + ... + T₉₅.

138301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 138301 - 2¹⁵ = 105533 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 (138311) 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, 426 + ... + 676.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2¹³⁸³⁰¹ is an apocalyptic number.

It is an amenable number.

138301 is a deficient number, since it is larger than the sum of its proper divisors (12899).

138301 is a wasteful number, since it uses less digits than its factorization.

138301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 138301 is about 371.8884241275. Note that the first 3 decimals coincide. The cubic root of 138301 is about 51.7140367963.

It can be divided in two parts, 13830 and 1, that added together give a palindrome (13831).

The spelling of 138301 in words is "one hundred thirty-eight thousand, three hundred one".