The calculated distance (air line) between As Sulaymānīyah and Al Fallūjah is approximately 180 miles respectively 289 kilometers.
By car or train, the actual journey to Al Fallūjah is certainly longer, as only the direct route (as the crow flies) between As Sulaymānīyah and Al Fallūjah has been calculated here.
Air line (approximately)
289 kilometers
156 nautical miles