113141760 has 192 divisors, whose sum is σ = 377395200. Its totient is φ = 28901376.

The previous prime is 113141753. The next prime is 113141773. The reversal of 113141760 is 67141311.

It is a tau number, because it is divible by the number of its divisors (192).

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 113141760.

It is an unprimeable number.

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, 890817 + ... + 890943.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^113141760 is an apocalyptic number.

113141760 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 113141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

113141760 is an abundant number, since it is smaller than the sum of its proper divisors (264253440).

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

113141760 is a wasteful number, since it uses less digits than its factorization.

113141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 113141760 is about 10636.8115523403. The cubic root of 113141760 is about 483.6608967284.

The spelling of 113141760 in words is "one hundred thirteen million, one hundred forty-one thousand, seven hundred sixty".