I would say that the engine number is too high to have been an auto, the chassis kept going for a while after they ditched the auto idea.
Yep, the highest confirmed engine number for the 'Model 4 Predicta/Auto' is around 128-130,000, as far as ODK members have been able to determine.
So as you posted above, that would make this one a 'Model 4 Standard', 1957-58. These were made concurrently with the Model 5 Special Series 1, seemingly to use up the Model 4 chassis that were on hand.
Therefore, setting this one up as a Predicta would be incorrect, as it wasn't originally sold as such.