137114413 has 2 divisors, whose sum is σ = 137114414. Its totient is φ = 137114412.

The previous prime is 137114399. The next prime is 137114441. The reversal of 137114413 is 314411731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71876484 + 65237929 = 8478^2 + 8077^2 .

It is an emirp because it is prime and its reverse (314411731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137114413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137114713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68557206 + 68557207.

It is an arithmetic number, because the mean of its divisors is an integer number (68557207).

Almost surely, 2^137114413 is an apocalyptic number.

It is an amenable number.

137114413 is a deficient number, since it is larger than the sum of its proper divisors (1).

137114413 is an equidigital number, since it uses as much as digits as its factorization.

137114413 is an evil number, because the sum of its binary digits is even.

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

The square root of 137114413 is about 11709.5863718579. The cubic root of 137114413 is about 515.6571408334.

The spelling of 137114413 in words is "one hundred thirty-seven million, one hundred fourteen thousand, four hundred thirteen".