112185738 has 96 divisors (see below), whose sum is σ = 286925184. Its totient is φ = 31021056.

The previous prime is 112185721. The next prime is 112185761. The reversal of 112185738 is 837581211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818806 + ... + 818942.

It is an arithmetic number, because the mean of its divisors is an integer number (2988804).

Almost surely, 2^112185738 is an apocalyptic number.

112185738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112185738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143462592).

112185738 is an abundant number, since it is smaller than the sum of its proper divisors (174739446).

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

112185738 is a wasteful number, since it uses less digits than its factorization.

112185738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 313 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 112185738 is about 10591.7769047502. The cubic root of 112185738 is about 482.2947669848.

The spelling of 112185738 in words is "one hundred twelve million, one hundred eighty-five thousand, seven hundred thirty-eight".