138138017 has 2 divisors, whose sum is σ = 138138018. Its totient is φ = 138138016.

The previous prime is 138138001. The next prime is 138138031. The reversal of 138138017 is 710831831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131767441 + 6370576 = 11479^2 + 2524^2 .

It is an emirp because it is prime and its reverse (710831831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138138017 - 2⁴ = 138138001 is a prime.

It is a super-2 number, since 2×138138017² = 38164223481384578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (138138817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69069008 + 69069009.

It is an arithmetic number, because the mean of its divisors is an integer number (69069009).

Almost surely, 2^138138017 is an apocalyptic number.

It is an amenable number.

138138017 is a deficient number, since it is larger than the sum of its proper divisors (1).

138138017 is an equidigital number, since it uses as much as digits as its factorization.

138138017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 138138017 is about 11753.2130500557. The cubic root of 138138017 is about 516.9371440307.

Adding to 138138017 its reverse (710831831), we get a palindrome (848969848).

The spelling of 138138017 in words is "one hundred thirty-eight million, one hundred thirty-eight thousand, seventeen".