113544320 has 128 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 42762240.

The previous prime is 113544317. The next prime is 113544329. The reversal of 113544320 is 23445311.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (113544329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1170512 + ... + 1170608.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^113544320 is an apocalyptic number.

113544320 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 113544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

113544320 is an abundant number, since it is smaller than the sum of its proper divisors (174340480).

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

113544320 is an equidigital number, since it uses as much as digits as its factorization.

113544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 113544320 is about 10655.7177139787. The cubic root of 113544320 is about 484.2338418780.

Adding to 113544320 its reverse (23445311), we get a palindrome (136989631).

Subtracting from 113544320 its reverse (23445311), we obtain a palindrome (90099009).

The spelling of 113544320 in words is "one hundred thirteen million, five hundred forty-four thousand, three hundred twenty".