113312640 has 128 divisors (see below), whose sum is σ = 412830720. Its totient is φ = 25896960.

The previous prime is 113312621. The next prime is 113312681. The reversal of 113312640 is 46213311.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9225 + ... + 17655.

It is an arithmetic number, because the mean of its divisors is an integer number (3225240).

Almost surely, 2^113312640 is an apocalyptic number.

113312640 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 113312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206415360).

113312640 is an abundant number, since it is smaller than the sum of its proper divisors (299518080).

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

113312640 is an equidigital number, since it uses as much as digits as its factorization.

113312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 113312640 is about 10644.8410039793. The cubic root of 113312640 is about 483.9042681139.

Adding to 113312640 its reverse (46213311), we get a palindrome (159525951).

The spelling of 113312640 in words is "one hundred thirteen million, three hundred twelve thousand, six hundred forty".