Hi, Tim.
Moonpup is dead right - yours is an April 66 bike. I've posted the full list of all my known 175 serial on this site - go to the Forum / Bridgestone Reference archives section and click on the "Serial Number Guide". If you scan down through the various posts, you will find the 175 serial number list. I try to keep it up to date as I discover more serial numbers, but the list still has gaps.
As you can see 1968 is a bit sparse, since the BS200 was in production by then as a replacement for the 175. Bridgestone did use 175 frame numbers on some of their early BS200s, presumably to use up surplus stocks (175 and 200 frames are identical) but an April 1968 frame would have been numbered somewhere around 33000 to 34000 - way later than your frame number.
Hope that helps,
Graham Weeks