137025449302813 has 2 divisors, whose sum is σ = 137025449302814. Its totient is φ = 137025449302812.

The previous prime is 137025449302793. The next prime is 137025449302901. The reversal of 137025449302813 is 318203944520731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88964548138404 + 48060901164409 = 9432102^2 + 6932597^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137025449302813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137025449300813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68512724651406 + 68512724651407.

It is an arithmetic number, because the mean of its divisors is an integer number (68512724651407).

Almost surely, 2^{137025449302813} is an apocalyptic number.

It is an amenable number.

137025449302813 is a deficient number, since it is larger than the sum of its proper divisors (1).

137025449302813 is an equidigital number, since it uses as much as digits as its factorization.

137025449302813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 137025449302813 in words is "one hundred thirty-seven trillion, twenty-five billion, four hundred forty-nine million, three hundred two thousand, eight hundred thirteen".