138624113 has 2 divisors, whose sum is σ = 138624114. Its totient is φ = 138624112.

The previous prime is 138624107. The next prime is 138624127. The reversal of 138624113 is 311426831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136025569 + 2598544 = 11663^2 + 1612^2 .

It is a cyclic number.

It is not a de Polignac number, because 138624113 - 2²⁴ = 121846897 is a prime.

It is not a weakly prime, because it can be changed into another prime (138624313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69312056 + 69312057.

It is an arithmetic number, because the mean of its divisors is an integer number (69312057).

Almost surely, 2^138624113 is an apocalyptic number.

It is an amenable number.

138624113 is a deficient number, since it is larger than the sum of its proper divisors (1).

138624113 is an equidigital number, since it uses as much as digits as its factorization.

138624113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3456, while the sum is 29.

The square root of 138624113 is about 11773.8741712318. The cubic root of 138624113 is about 517.5427868814.

The spelling of 138624113 in words is "one hundred thirty-eight million, six hundred twenty-four thousand, one hundred thirteen".