112133088 has 144 divisors (see below), whose sum is σ = 347321520. Its totient is φ = 34172928.

The previous prime is 112133081. The next prime is 112133089. The reversal of 112133088 is 880331211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133081) 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, 180843 + ... + 181461.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^112133088 is an apocalyptic number.

112133088 is a gapful number since it is divisible by the number (18) 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 112133088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

112133088 is an abundant number, since it is smaller than the sum of its proper divisors (235188432).

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

112133088 is a wasteful number, since it uses less digits than its factorization.

112133088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 112133088 is about 10589.2911944096. The cubic root of 112133088 is about 482.2193064336.

Adding to 112133088 its reverse (880331211), we get a palindrome (992464299).

The spelling of 112133088 in words is "one hundred twelve million, one hundred thirty-three thousand, eighty-eight".