126166321344337 has 2 divisors, whose sum is σ = 126166321344338. Its totient is φ = 126166321344336.

The previous prime is 126166321344293. The next prime is 126166321344353. The reversal of 126166321344337 is 733443123661621.

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., 76697029043856 + 49469292300481 = 8757684^2 + 7033441^2 .

It is an emirp because it is prime and its reverse (733443123661621) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126166321344337 is a prime.

It is not a weakly prime, because it can be changed into another prime (126166321144337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63083160672168 + 63083160672169.

It is an arithmetic number, because the mean of its divisors is an integer number (63083160672169).

Almost surely, 2^{126166321344337} is an apocalyptic number.

It is an amenable number.

126166321344337 is a deficient number, since it is larger than the sum of its proper divisors (1).

126166321344337 is an equidigital number, since it uses as much as digits as its factorization.

126166321344337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7838208, while the sum is 52.

The spelling of 126166321344337 in words is "one hundred twenty-six trillion, one hundred sixty-six billion, three hundred twenty-one million, three hundred forty-four thousand, three hundred thirty-seven".