The Operating Temperature Range of the LM350AT is −40°C to +125°C.
The 0 to 125 temerature range stated in the LM350 datasheet Package Option Addendum (i.e. page 17), and in the LM350A Product Folder 'Sample & Buy' table, is not right.
A request to get this corrected has been submitted, and should implemented within the next day, or two.