Authorized capital doesn't mean much anymore. It used to be important, now most companies are nominal or no par value. The $180 is based on the par of .0000001 or whatever they set it at.
In Nevada, if you file an amendment, the filing fee is higher if your par is higher.
Fee! Fie! Foe! Fum!
I smell the blood of an Englishman.
Be he 'live, or be he dead,
I'll grind his bones to make my bread.