112135776 has 48 divisors (see below), whose sum is σ = 296990064. Its totient is φ = 37044224.

The previous prime is 112135769. The next prime is 112135781. The reversal of 112135776 is 677531211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5680 + ... + 16016.

It is an arithmetic number, because the mean of its divisors is an integer number (6187293).

Almost surely, 2^112135776 is an apocalyptic number.

112135776 is a gapful number since it is divisible by the number (16) 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 112135776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148495032).

112135776 is an abundant number, since it is smaller than the sum of its proper divisors (184854288).

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

112135776 is a wasteful number, since it uses less digits than its factorization.

112135776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10463 (or 10455 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 112135776 is about 10589.4181143253. The cubic root of 112135776 is about 482.2231595786.

Adding to 112135776 its reverse (677531211), we get a palindrome (789666987).

The spelling of 112135776 in words is "one hundred twelve million, one hundred thirty-five thousand, seven hundred seventy-six".