113424000 has 256 divisors, whose sum is σ = 400982400. Its totient is φ = 28262400.

The previous prime is 113423993. The next prime is 113424023. The reversal of 113424000 is 424311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815931 + ... + 816069.

Almost surely, 2^113424000 is an apocalyptic number.

113424000 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 113424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

113424000 is an abundant number, since it is smaller than the sum of its proper divisors (287558400).

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

113424000 is a wasteful number, since it uses less digits than its factorization.

113424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 113424000 is about 10650.0704223024. The cubic root of 113424000 is about 484.0627380367.

Adding to 113424000 its reverse (424311), we get a palindrome (113848311).

The spelling of 113424000 in words is "one hundred thirteen million, four hundred twenty-four thousand".