45137306012737 has 2 divisors, whose sum is σ = 45137306012738. Its totient is φ = 45137306012736.

The previous prime is 45137306012723. The next prime is 45137306012749. The reversal of 45137306012737 is 73721060373154.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24706625771776 + 20430680240961 = 4970576^2 + 4520031^2 .

It is a cyclic number.

It is not a de Polignac number, because 45137306012737 - 2²³ = 45137297624129 is a prime.

It is not a weakly prime, because it can be changed into another prime (45137306012437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22568653006368 + 22568653006369.

It is an arithmetic number, because the mean of its divisors is an integer number (22568653006369).

Almost surely, 2^{45137306012737} is an apocalyptic number.

It is an amenable number.

45137306012737 is a deficient number, since it is larger than the sum of its proper divisors (1).

45137306012737 is an equidigital number, since it uses as much as digits as its factorization.

45137306012737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 49.

The spelling of 45137306012737 in words is "forty-five trillion, one hundred thirty-seven billion, three hundred six million, twelve thousand, seven hundred thirty-seven".