11136 has 32 divisors (see below), whose sum is σ = 30600. Its totient is φ = 3584.

The previous prime is 11131. The next prime is 11149. The reversal of 11136 is 63111.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131) by changing a digit.

11136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 370 + ... + 398.

2¹¹¹³⁶ is an apocalyptic number.

11136 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 11136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300).

11136 is an abundant number, since it is smaller than the sum of its proper divisors (19464).

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

11136 is an equidigital number, since it uses as much as digits as its factorization.

11136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 34 counting only the distinct ones).

The product of its digits is 18, while the sum is 12.

The square root of 11136 is about 105.5272476662. The cubic root of 11136 is about 22.3310806866.

Adding to 11136 its reverse (63111), we get a palindrome (74247).

The spelling of 11136 in words is "eleven thousand, one hundred thirty-six".