112138656 has 144 divisors (see below), whose sum is σ = 353928960. Its totient is φ = 30965760.

The previous prime is 112138651. The next prime is 112138657. The reversal of 112138656 is 656831211.

It is not an unprimeable number, because it can be changed into a prime (112138651) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 145440 + ... + 146208.

It is an arithmetic number, because the mean of its divisors is an integer number (2457840).

Almost surely, 2^112138656 is an apocalyptic number.

112138656 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 112138656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176964480).

112138656 is an abundant number, since it is smaller than the sum of its proper divisors (241790304).

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

112138656 is a wasteful number, since it uses less digits than its factorization.

112138656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 812 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 112138656 is about 10589.5540982612. The cubic root of 112138656 is about 482.2272878799.

Adding to 112138656 its reverse (656831211), we get a palindrome (768969867).

The spelling of 112138656 in words is "one hundred twelve million, one hundred thirty-eight thousand, six hundred fifty-six".