137118629 has 2 divisors, whose sum is σ = 137118630. Its totient is φ = 137118628.

The previous prime is 137118623. The next prime is 137118643. The reversal of 137118629 is 926811731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134606404 + 2512225 = 11602^2 + 1585^2 .

It is an emirp because it is prime and its reverse (926811731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137118629 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137118592 and 137118601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137118623) 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, 68559314 + 68559315.

It is an arithmetic number, because the mean of its divisors is an integer number (68559315).

Almost surely, 2^137118629 is an apocalyptic number.

It is an amenable number.

137118629 is a deficient number, since it is larger than the sum of its proper divisors (1).

137118629 is an equidigital number, since it uses as much as digits as its factorization.

137118629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 38.

The square root of 137118629 is about 11709.7663939124. The cubic root of 137118629 is about 515.6624259287.

The spelling of 137118629 in words is "one hundred thirty-seven million, one hundred eighteen thousand, six hundred twenty-nine".