13728267149 has 2 divisors, whose sum is σ = 13728267150. Its totient is φ = 13728267148.

The previous prime is 13728267143. The next prime is 13728267151. The reversal of 13728267149 is 94176282731.

13728267149 is digitally balanced in base 2, 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., 13045751524 + 682515625 = 114218^2 + 26125^2 .

It is an emirp because it is prime and its reverse (94176282731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13728267149 is a prime.

Together with 13728267151, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13728267097 and 13728267106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13728267143) 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, 6864133574 + 6864133575.

It is an arithmetic number, because the mean of its divisors is an integer number (6864133575).

Almost surely, 2^13728267149 is an apocalyptic number.

It is an amenable number.

13728267149 is a deficient number, since it is larger than the sum of its proper divisors (1).

13728267149 is an equidigital number, since it uses as much as digits as its factorization.

13728267149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 50.

The spelling of 13728267149 in words is "thirteen billion, seven hundred twenty-eight million, two hundred sixty-seven thousand, one hundred forty-nine".