138027713 has 2 divisors, whose sum is σ = 138027714. Its totient is φ = 138027712.

The previous prime is 138027691. The next prime is 138027731. The reversal of 138027713 is 317720831.

Together with next prime (138027731) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78552769 + 59474944 = 8863^2 + 7712^2 .

It is a cyclic number.

It is not a de Polignac number, because 138027713 - 2²⁰ = 136979137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138027713.

It is not a weakly prime, because it can be changed into another prime (138027413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69013856 + 69013857.

It is an arithmetic number, because the mean of its divisors is an integer number (69013857).

Almost surely, 2^138027713 is an apocalyptic number.

It is an amenable number.

138027713 is a deficient number, since it is larger than the sum of its proper divisors (1).

138027713 is an equidigital number, since it uses as much as digits as its factorization.

138027713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 138027713 is about 11748.5196088699. The cubic root of 138027713 is about 516.7995149654.

The spelling of 138027713 in words is "one hundred thirty-eight million, twenty-seven thousand, seven hundred thirteen".