137920613 has 2 divisors, whose sum is σ = 137920614. Its totient is φ = 137920612.

The previous prime is 137920591. The next prime is 137920621. The reversal of 137920613 is 316029731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84235684 + 53684929 = 9178^2 + 7327^2 .

It is an emirp because it is prime and its reverse (316029731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137920613 - 2⁸ = 137920357 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137920613.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137920663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68960306 + 68960307.

It is an arithmetic number, because the mean of its divisors is an integer number (68960307).

Almost surely, 2^137920613 is an apocalyptic number.

It is an amenable number.

137920613 is a deficient number, since it is larger than the sum of its proper divisors (1).

137920613 is an equidigital number, since it uses as much as digits as its factorization.

137920613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 137920613 is about 11743.9607032721. The cubic root of 137920613 is about 516.6658134337.

The spelling of 137920613 in words is "one hundred thirty-seven million, nine hundred twenty thousand, six hundred thirteen".