13635136242 has 128 divisors (see below), whose sum is σ = 37712908800. Its totient is φ = 3555560448.

The previous prime is 13635136241. The next prime is 13635136247. The reversal of 13635136242 is 24263153631.

13635136242 is a `hidden beast` number, since 1 + 3 + 635 + 13 + 6 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13635136197 and 13635136206.

It is not an unprimeable number, because it can be changed into a prime (13635136241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421758 + ... + 452934.

It is an arithmetic number, because the mean of its divisors is an integer number (294632100).

Almost surely, 2^13635136242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13635136242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18856454400).

13635136242 is an abundant number, since it is smaller than the sum of its proper divisors (24077772558).

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

13635136242 is a wasteful number, since it uses less digits than its factorization.

13635136242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31297 (or 31291 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 13635136242 its reverse (24263153631), we get a palindrome (37898289873).

The spelling of 13635136242 in words is "thirteen billion, six hundred thirty-five million, one hundred thirty-six thousand, two hundred forty-two".