11813152 has 48 divisors (see below), whose sum is σ = 25454520. Its totient is φ = 5363712.

The previous prime is 11813149. The next prime is 11813177. The reversal of 11813152 is 25131811.

It can be written as a sum of positive squares in 4 ways, for example, as 6990736 + 4822416 = 2644^2 + 2196^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30174 + ... + 30562.

Almost surely, 2^11813152 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 11813152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727260).

11813152 is an abundant number, since it is smaller than the sum of its proper divisors (13641368).

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

11813152 is a wasteful number, since it uses less digits than its factorization.

11813152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its digits is 240, while the sum is 22.

The square root of 11813152 is about 3437.0266219510. The cubic root of 11813152 is about 227.7483629850.

Adding to 11813152 its reverse (25131811), we get a palindrome (36944963).

The spelling of 11813152 in words is "eleven million, eight hundred thirteen thousand, one hundred fifty-two".