Money: Capital Good, Consumers' Good, or (Media of) Exchange Good?

Is money a producers' good or a capital good, or is it sui generus, as Mises, Rothbard, and other Austrians have maintained? We argue that all action is either consumption or production, and that exchange is but a form of production. Consequently, all goods are either consumers' goods or producers' goods; there is no third possibility. And that among these two money is a producers' good, not a consumer good.