138407 has 2 divisors, whose sum is σ = 138408. Its totient is φ = 138406.

The previous prime is 138403. The next prime is 138427. The reversal of 138407 is 704831.

It is a happy number.

138407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 138407 - 2² = 138403 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69203 + 69204.

It is an arithmetic number, because the mean of its divisors is an integer number (69204).

2¹³⁸⁴⁰⁷ is an apocalyptic number.

138407 is a deficient number, since it is larger than the sum of its proper divisors (1).

138407 is an equidigital number, since it uses as much as digits as its factorization.

138407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 138407 is about 372.0309126941. The cubic root of 138407 is about 51.7272453970.

Subtracting from 138407 its sum of digits (23), we obtain a square (138384 = 372²).

It can be divided in two parts, 138 and 407, that added together give a palindrome (545).

The spelling of 138407 in words is "one hundred thirty-eight thousand, four hundred seven".