13637126140 has 96 divisors (see below), whose sum is σ = 32006016000. Its totient is φ = 4838257920.

The previous prime is 13637126137. The next prime is 13637126171. The reversal of 13637126140 is 4162173631.

It is a junction number, because it is equal to n+sod(n) for n = 13637126096 and 13637126105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3606771 + ... + 3610549.

It is an arithmetic number, because the mean of its divisors is an integer number (333396000).

Almost surely, 2^13637126140 is an apocalyptic number.

13637126140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13637126140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008000).

13637126140 is an abundant number, since it is smaller than the sum of its proper divisors (18368889860).

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

13637126140 is a wasteful number, since it uses less digits than its factorization.

13637126140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 13637126140 its reverse (4162173631), we get a palindrome (17799299771).

The spelling of 13637126140 in words is "thirteen billion, six hundred thirty-seven million, one hundred twenty-six thousand, one hundred forty".