The calculated distance (air line) between Mülheim-Kärlich and Nürnberg is approximately 172 miles respectively 276 kilometers.
By car or train, the actual journey to Nürnberg is certainly longer, as only the direct route (as the crow flies) between Mülheim-Kärlich and Nürnberg has been calculated here.
Air line (approximately)
276 kilometers
149 nautical miles