11132800 has 144 divisors (see below), whose sum is σ = 32442120. Its totient is φ = 3763200.

The previous prime is 11132789. The next prime is 11132827. The reversal of 11132800 is 823111.

11132800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156765 + ... + 156835.

Almost surely, 2^11132800 is an apocalyptic number.

11132800 is a gapful number since it is divisible by the number (10) 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 11132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221060).

11132800 is an abundant number, since it is smaller than the sum of its proper divisors (21309320).

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

11132800 is an equidigital number, since it uses as much as digits as its factorization.

11132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11132800 is about 3336.5850805876. The cubic root of 11132800 is about 223.2894148931.

Adding to 11132800 its reverse (823111), we get a palindrome (11955911).

The spelling of 11132800 in words is "eleven million, one hundred thirty-two thousand, eight hundred".