113128224 has 72 divisors (see below), whose sum is σ = 326445840. Its totient is φ = 34277760.

The previous prime is 113128199. The next prime is 113128247. The reversal of 113128224 is 422821311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113128194 and 113128203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6747 + ... + 16485.

It is an arithmetic number, because the mean of its divisors is an integer number (4533970).

Almost surely, 2^113128224 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 113128224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163222920).

113128224 is an abundant number, since it is smaller than the sum of its proper divisors (213317616).

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

113128224 is a wasteful number, since it uses less digits than its factorization.

113128224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9755 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 113128224 is about 10636.1752524110. The cubic root of 113128224 is about 483.6416079618.

Adding to 113128224 its reverse (422821311), we get a palindrome (535949535).

The spelling of 113128224 in words is "one hundred thirteen million, one hundred twenty-eight thousand, two hundred twenty-four".