137206117 has 2 divisors, whose sum is σ = 137206118. Its totient is φ = 137206116.

The previous prime is 137206081. The next prime is 137206123. The reversal of 137206117 is 711602731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76895361 + 60310756 = 8769^2 + 7766^2 .

It is a cyclic number.

It is not a de Polignac number, because 137206117 - 2²³ = 128817509 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137206417) 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, 68603058 + 68603059.

It is an arithmetic number, because the mean of its divisors is an integer number (68603059).

Almost surely, 2^137206117 is an apocalyptic number.

It is an amenable number.

137206117 is a deficient number, since it is larger than the sum of its proper divisors (1).

137206117 is an equidigital number, since it uses as much as digits as its factorization.

137206117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 137206117 is about 11713.5014833311. The cubic root of 137206117 is about 515.7720747368.

Adding to 137206117 its reverse (711602731), we get a palindrome (848808848).

The spelling of 137206117 in words is "one hundred thirty-seven million, two hundred six thousand, one hundred seventeen".