138107 has 2 divisors, whose sum is σ = 138108. Its totient is φ = 138106.

The previous prime is 138101. The next prime is 138113. The reversal of 138107 is 701831.

It is a balanced prime because it is at equal distance from previous prime (138101) and next prime (138113).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-138107 is a prime.

It is a super-3 number, since 3×138107³ = 7902569595333129, which contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (138101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69053 + 69054.

It is an arithmetic number, because the mean of its divisors is an integer number (69054).

2¹³⁸¹⁰⁷ is an apocalyptic number.

138107 is a deficient number, since it is larger than the sum of its proper divisors (1).

138107 is an equidigital number, since it uses as much as digits as its factorization.

138107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 138107 is about 371.6275016734. The cubic root of 138107 is about 51.6898450749.

Adding to 138107 its reverse (701831), we get a palindrome (839938).

The spelling of 138107 in words is "one hundred thirty-eight thousand, one hundred seven".