The calculated distance (air line) between Nové Mesto nad Váhom and Prešov is approximately 156 miles respectively 250 kilometers.
By car or train, the actual journey to Prešov is certainly longer, as only the direct route (as the crow flies) between Nové Mesto nad Váhom and Prešov has been calculated here.
Air line (approximately)
250 kilometers
135 nautical miles