113642160 has 80 divisors (see below), whose sum is σ = 360914400. Its totient is φ = 29562880.

The previous prime is 113642131. The next prime is 113642167. The reversal of 113642160 is 61246311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113642160.

It is not an unprimeable number, because it can be changed into a prime (113642167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4066 + ... + 15614.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2^113642160 is an apocalyptic number.

113642160 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 113642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180457200).

113642160 is an abundant number, since it is smaller than the sum of its proper divisors (247272240).

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

113642160 is a wasteful number, since it uses less digits than its factorization.

113642160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11606 (or 11600 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 113642160 is about 10660.3076878672. The cubic root of 113642160 is about 484.3728884265.

Adding to 113642160 its reverse (61246311), we get a palindrome (174888471).

The spelling of 113642160 in words is "one hundred thirteen million, six hundred forty-two thousand, one hundred sixty".