11541132 has 72 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3557088.

The previous prime is 11541107. The next prime is 11541133. The reversal of 11541132 is 23114511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11541133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31969 + ... + 32327.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 2^11541132 is an apocalyptic number.

11541132 is a gapful number since it is divisible by the number (12) 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 11541132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

11541132 is an abundant number, since it is smaller than the sum of its proper divisors (19908468).

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

11541132 is a wasteful number, since it uses less digits than its factorization.

11541132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 430 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 11541132 is about 3397.2241609879. The cubic root of 11541132 is about 225.9866596140.

Adding to 11541132 its reverse (23114511), we get a palindrome (34655643).

The spelling of 11541132 in words is "eleven million, five hundred forty-one thousand, one hundred thirty-two".