13688126153837 has 2 divisors, whose sum is σ = 13688126153838. Its totient is φ = 13688126153836.

The previous prime is 13688126153831. The next prime is 13688126153843. The reversal of 13688126153837 is 73835162188631.

13688126153837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13688126153831) and next prime (13688126153843).

It can be written as a sum of positive squares in only one way, i.e., 13670848102921 + 17278050916 = 3697411^2 + 131446^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13688126153837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13688126153837.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13688126153831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6844063076918 + 6844063076919.

It is an arithmetic number, because the mean of its divisors is an integer number (6844063076919).

Almost surely, 2^{13688126153837} is an apocalyptic number.

It is an amenable number.

13688126153837 is a deficient number, since it is larger than the sum of its proper divisors (1).

13688126153837 is an equidigital number, since it uses as much as digits as its factorization.

13688126153837 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34836480, while the sum is 62.

The spelling of 13688126153837 in words is "thirteen trillion, six hundred eighty-eight billion, one hundred twenty-six million, one hundred fifty-three thousand, eight hundred thirty-seven".