11553152 has 64 divisors (see below), whose sum is σ = 25446960. Its totient is φ = 5191680.

The previous prime is 11553133. The next prime is 11553167. The reversal of 11553152 is 25135511.

It is a happy number.

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

It is a super-2 number, since 2×11553152² = 266950642270208, which contains 22 as substring.

It is a congruent number.

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, 88127 + ... + 88257.

Almost surely, 2^11553152 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 11553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723480).

11553152 is an abundant number, since it is smaller than the sum of its proper divisors (13893808).

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

11553152 is a wasteful number, since it uses less digits than its factorization.

11553152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its digits is 750, while the sum is 23.

The square root of 11553152 is about 3398.9927919900. The cubic root of 11553152 is about 226.0650868478.

Adding to 11553152 its reverse (25135511), we get a palindrome (36688663).

The spelling of 11553152 in words is "eleven million, five hundred fifty-three thousand, one hundred fifty-two".