138200137 has 2 divisors, whose sum is σ = 138200138. Its totient is φ = 138200136.

The previous prime is 138200131. The next prime is 138200141. The reversal of 138200137 is 731002831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132227001 + 5973136 = 11499^2 + 2444^2 .

It is a cyclic number.

It is not a de Polignac number, because 138200137 - 2¹¹ = 138198089 is a prime.

It is not a weakly prime, because it can be changed into another prime (138200131) 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, 69100068 + 69100069.

It is an arithmetic number, because the mean of its divisors is an integer number (69100069).

Almost surely, 2^138200137 is an apocalyptic number.

It is an amenable number.

138200137 is a deficient number, since it is larger than the sum of its proper divisors (1).

138200137 is an equidigital number, since it uses as much as digits as its factorization.

138200137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 138200137 is about 11755.8554346334. The cubic root of 138200137 is about 517.0146204651.

Adding to 138200137 its reverse (731002831), we get a palindrome (869202968).

The spelling of 138200137 in words is "one hundred thirty-eight million, two hundred thousand, one hundred thirty-seven".