114588764396137 has 2 divisors, whose sum is σ = 114588764396138. Its totient is φ = 114588764396136.

The previous prime is 114588764396089. The next prime is 114588764396149. The reversal of 114588764396137 is 731693467885411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103803983603776 + 10784780792361 = 10188424^2 + 3284019^2 .

It is an emirp because it is prime and its reverse (731693467885411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114588764396137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114588764396137.

It is not a weakly prime, because it can be changed into another prime (114588764396837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57294382198068 + 57294382198069.

It is an arithmetic number, because the mean of its divisors is an integer number (57294382198069).

Almost surely, 2^{114588764396137} is an apocalyptic number.

It is an amenable number.

114588764396137 is a deficient number, since it is larger than the sum of its proper divisors (1).

114588764396137 is an equidigital number, since it uses as much as digits as its factorization.

114588764396137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 731566080, while the sum is 73.

The spelling of 114588764396137 in words is "one hundred fourteen trillion, five hundred eighty-eight billion, seven hundred sixty-four million, three hundred ninety-six thousand, one hundred thirty-seven".