415140480137 has 2 divisors, whose sum is σ = 415140480138. Its totient is φ = 415140480136.

The previous prime is 415140480127. The next prime is 415140480143. The reversal of 415140480137 is 731084041514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 364690378816 + 50450101321 = 603896^2 + 224611^2 .

It is a cyclic number.

It is not a de Polignac number, because 415140480137 - 2³⁸ = 140262573193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 415140480137.

It is not a weakly prime, because it can be changed into another prime (415140480127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207570240068 + 207570240069.

It is an arithmetic number, because the mean of its divisors is an integer number (207570240069).

Almost surely, 2^415140480137 is an apocalyptic number.

It is an amenable number.

415140480137 is a deficient number, since it is larger than the sum of its proper divisors (1).

415140480137 is an equidigital number, since it uses as much as digits as its factorization.

415140480137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 415140480137 in words is "four hundred fifteen billion, one hundred forty million, four hundred eighty thousand, one hundred thirty-seven".