138413 has 4 divisors (see below), whose sum is σ = 151008. Its totient is φ = 125820.

The previous prime is 138407. The next prime is 138427. The reversal of 138413 is 314831.

It is a happy number.

138413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 314831 = 11 ⋅28621.

It is a cyclic number.

It is not a de Polignac number, because 138413 - 2⁶ = 138349 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6281 + ... + 6302.

It is an arithmetic number, because the mean of its divisors is an integer number (37752).

2¹³⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

138413 is a deficient number, since it is larger than the sum of its proper divisors (12595).

138413 is a wasteful number, since it uses less digits than its factorization.

138413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594.

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

The square root of 138413 is about 372.0389764527. The cubic root of 138413 is about 51.7279928519.

The spelling of 138413 in words is "one hundred thirty-eight thousand, four hundred thirteen".