112145760 has 144 divisors (see below), whose sum is σ = 391075776. Its totient is φ = 29251584.

The previous prime is 112145749. The next prime is 112145773. The reversal of 112145760 is 67541211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66852 + ... + 68508.

It is an arithmetic number, because the mean of its divisors is an integer number (2715804).

Almost surely, 2^112145760 is an apocalyptic number.

112145760 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 112145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195537888).

112145760 is an abundant number, since it is smaller than the sum of its proper divisors (278930016).

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

112145760 is a wasteful number, since it uses less digits than its factorization.

112145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 112145760 is about 10589.8895178373. The cubic root of 112145760 is about 482.2374707209.

Adding to 112145760 its reverse (67541211), we get a palindrome (179686971).

The spelling of 112145760 in words is "one hundred twelve million, one hundred forty-five thousand, seven hundred sixty".