4137126181 has 2 divisors, whose sum is σ = 4137126182. Its totient is φ = 4137126180.

The previous prime is 4137126157. The next prime is 4137126187. The reversal of 4137126181 is 1816217314.

4137126181 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3967866081 + 169260100 = 62991^2 + 13010^2 .

It is a cyclic number.

It is not a de Polignac number, because 4137126181 - 2⁹ = 4137125669 is a prime.

It is a super-2 number, since 2×4137126181² = 34231626075031289522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4137126187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2068563090 + 2068563091.

It is an arithmetic number, because the mean of its divisors is an integer number (2068563091).

Almost surely, 2^4137126181 is an apocalyptic number.

It is an amenable number.

4137126181 is a deficient number, since it is larger than the sum of its proper divisors (1).

4137126181 is an equidigital number, since it uses as much as digits as its factorization.

4137126181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 34.

The square root of 4137126181 is about 64320.4958081015. The cubic root of 4137126181 is about 1605.3371484678.

The spelling of 4137126181 in words is "four billion, one hundred thirty-seven million, one hundred twenty-six thousand, one hundred eighty-one".