11152 has 20 divisors (see below), whose sum is σ = 23436. Its totient is φ = 5120.

The previous prime is 11149. The next prime is 11159. The reversal of 11152 is 25111.

It is a happy number.

11152 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 4096 + 7056 = 64^2 + 84^2 .

It is a magnanimous number.

It is a plaindrome in base 6.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (11159) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252 + ... + 292.

2¹¹¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718).

11152 is an abundant number, since it is smaller than the sum of its proper divisors (12284).

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

11152 is a wasteful number, since it uses less digits than its factorization.

11152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its digits is 10, while the sum is 10.

The square root of 11152 is about 105.6030302596. The cubic root of 11152 is about 22.3417705306.

Adding to 11152 its reverse (25111), we get a palindrome (36263).

The spelling of 11152 in words is "eleven thousand, one hundred fifty-two".