113735160 has 288 divisors, whose sum is σ = 465585120. Its totient is φ = 23569920.

The previous prime is 113735143. The next prime is 113735179. The reversal of 113735160 is 61537311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304734 + ... + 305106.

It is an arithmetic number, because the mean of its divisors is an integer number (1616615).

Almost surely, 2^113735160 is an apocalyptic number.

113735160 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 113735160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232792560).

113735160 is an abundant number, since it is smaller than the sum of its proper divisors (351849960).

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

113735160 is a wasteful number, since it uses less digits than its factorization.

113735160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 113735160 is about 10664.6687712277. The cubic root of 113735160 is about 484.5049825838.

The spelling of 113735160 in words is "one hundred thirteen million, seven hundred thirty-five thousand, one hundred sixty".