Help i.d. Lawn Boy model, and air filter

[atombaum]

• Can anyone help i.d. the model number of this mower?
• Also looking for an air filter cross-reference. The filter element "14 083 19-S" was $10.00, and the filter that was in the mower was element "14 083 01", which fit fine, and sells for less. Is there a good place to buy filters in groups of 3 or 5? If I had the model number, I could probably find the air filters easier.

 

[atombaum]

• The best search results for air filters (so far) were obtained by using the engine type (PH-XT149-0025, a.k.a. XT149).
• Anyone know the model number (or name) of this mower, or if parts are generally found via the Kohler data found on the engine?

 

[atombaum]

Found the model number conveniently located under the bagger flap.

• Model № 10604
• Serial № 311019966