13611136 has 64 divisors (see below), whose sum is σ = 33831360. Its totient is φ = 5299200.

The previous prime is 13611133. The next prime is 13611151. The reversal of 13611136 is 63111631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13611133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9166 + ... + 10546.

It is an arithmetic number, because the mean of its divisors is an integer number (528615).

Almost surely, 2^13611136 is an apocalyptic number.

13611136 is a gapful number since it is divisible by the number (16) 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 13611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915680).

13611136 is an abundant number, since it is smaller than the sum of its proper divisors (20220224).

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

13611136 is a wasteful number, since it uses less digits than its factorization.

13611136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1401 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 13611136 is about 3689.3273099577. The cubic root of 13611136 is about 238.7617707527.

Multiplying 13611136 by its sum of digits (22), we get a palindrome (299444992).

Adding to 13611136 its reverse (63111631), we get a palindrome (76722767).

The spelling of 13611136 in words is "thirteen million, six hundred eleven thousand, one hundred thirty-six".