113184 has 48 divisors (see below), whose sum is σ = 332640. Its totient is φ = 37440.

The previous prime is 113177. The next prime is 113189. The reversal of 113184 is 481311.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (113189) by changing a digit.

113184 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 799 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2¹¹³¹⁸⁴ 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 113184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320).

113184 is an abundant number, since it is smaller than the sum of its proper divisors (219456).

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

113184 is a wasteful number, since it uses less digits than its factorization.

113184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 113184 is about 336.4282984530. The cubic root of 113184 is about 48.3721078735.

Adding to 113184 its reverse (481311), we get a palindrome (594495).

The spelling of 113184 in words is "one hundred thirteen thousand, one hundred eighty-four".