Not to alarm you, but your serial number is well past the antique cutoff of 152670. So, it is a "firearm" under Federal, and CA, law.

How did you acquire it? The transaction MAY not be "legal" under the rather draconian laws of the PDRK (People's Democratic Republik of Kalifornia).

The odds of anyone stopping you are miniscule, even less because of what it is, BUT, if you unintentionally violate one of the deliberately arcane carrying and transporting rules - THEN the authorities MIGHT want to dig deeper.

I would strongly suggest that you acquaint yourself with the current firearms laws of the Golden State before heading out to the range.