The calculated distance (air line) between Al Fallūjah and Al Ḩayy is approximately 154 miles respectively 248 kilometers.
By car or train, the actual journey to Al Ḩayy is certainly longer, as only the direct route (as the crow flies) between Al Fallūjah and Al Ḩayy has been calculated here.
Air line (approximately)
248 kilometers
134 nautical miles