Even though you can't catch Haxorus normally, you can go to Mistralton cave and catch Axew (it is very easy to find) and evolve it twice (Level 38:Fraxure, Level 48 Haxorus). Another way is to go to Victory Road and run around in the grass outside of the cave, get a Fraxure, and evolve it at level 48.
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you cant catch haxorus in the game but you can train an axew to evolve into a fraxure then a haxorus
he learns it at level 66
It evolves into Haxorus at level 48.
Haxorus is only Dragon type, and as with all Dragon type Pokemon it's weaknesses are Ice and Dragon. I would recommend not using a Dragon type Pokemon though because you leave yourself open to high damage from Haxorus' own dragon type attacks.
Axew, Fraxure, Haxorus Druddigon