13766310126 has 48 divisors (see below), whose sum is σ = 31068221184. Its totient is φ = 4568518584.

The previous prime is 13766310097. The next prime is 13766310127. The reversal of 13766310126 is 62101366731.

13766310126 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 631 + 0 + 12 + 6 = 666.

13766310126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13766310126² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13766310127) 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 in 23 ways as a sum of consecutive naturals, for example, 47931 + ... + 172713.

It is an arithmetic number, because the mean of its divisors is an integer number (647254608).

Almost surely, 2^13766310126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13766310126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534110592).

13766310126 is an abundant number, since it is smaller than the sum of its proper divisors (17301911058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13766310126 is a wasteful number, since it uses less digits than its factorization.

13766310126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125027 (or 125015 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 13766310126 its reverse (62101366731), we get a palindrome (75867676857).

The spelling of 13766310126 in words is "thirteen billion, seven hundred sixty-six million, three hundred ten thousand, one hundred twenty-six".