113305140 has 144 divisors (see below), whose sum is σ = 379478736. Its totient is φ = 27187200.

The previous prime is 113305123. The next prime is 113305147. The reversal of 113305140 is 41503311.

113305140 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9998244 + 103306896 = 3162^2 + 10164^2 .

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

113305140 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113305147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95350 + ... + 96530.

It is an arithmetic number, because the mean of its divisors is an integer number (2635269).

Almost surely, 2^113305140 is an apocalyptic number.

113305140 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 113305140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189739368).

113305140 is an abundant number, since it is smaller than the sum of its proper divisors (266173596).

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

113305140 is a wasteful number, since it uses less digits than its factorization.

113305140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113305140 is about 10644.4887148233. The cubic root of 113305140 is about 483.8935915701.

Adding to 113305140 its reverse (41503311), we get a palindrome (154808451).

The spelling of 113305140 in words is "one hundred thirteen million, three hundred five thousand, one hundred forty".