126105432520037 has 2 divisors, whose sum is σ = 126105432520038. Its totient is φ = 126105432520036.

The previous prime is 126105432520031. The next prime is 126105432520057. The reversal of 126105432520037 is 730025234501621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110476622337796 + 15628810182241 = 10510786^2 + 3953329^2 .

It is a cyclic number.

It is not a de Polignac number, because 126105432520037 - 2⁴ = 126105432520021 is a prime.

It is a super-2 number, since 2×126105432520037² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126105432519976 and 126105432520003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126105432520031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63052716260018 + 63052716260019.

It is an arithmetic number, because the mean of its divisors is an integer number (63052716260019).

Almost surely, 2^{126105432520037} is an apocalyptic number.

It is an amenable number.

126105432520037 is a deficient number, since it is larger than the sum of its proper divisors (1).

126105432520037 is an equidigital number, since it uses as much as digits as its factorization.

126105432520037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 126105432520037 in words is "one hundred twenty-six trillion, one hundred five billion, four hundred thirty-two million, five hundred twenty thousand, thirty-seven".