I use KRename for renaming multiple files.

Dolphin has that ability built in. If you use it, highlight all of the episodes and press f2. Pretty self explanatory from there.

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You can take a look at “sonarr”, it’s made for managing your tv-shows and it can automatic rename and organize your files, with customizable naming schem.

you can try rename: https://www.man7.org/linux/man-pages/man1/rename.1.html

or
rename 's/expression/replacement/' filename

select range of episodes per season then add season number (eg S01) in replacement string.

then restart numbering for next set of episodes (eg 01 to 12) and add S02. and so on. more tedious than the gui Rename method but doable.

If the names don’t have any break for seasons, or the name of the episode, I think it’s going to take a couple steps. Renaming is easy, but you’re adding info that’s not in the name. I can only suggest trying something like tvnamer, or search for a similar project.

krenamer can do this. It just is a regex front end. You could do it with a shell script too.

This can be done natively in Thunar if you happen to use XFCE.

or if you are comfortable with command line and some replacement shenanigans, there is always mmv

Would the tvnamer utility help?

how can you identify season from the file name?

Why not just do this with a for loop in the terminal? I don’t think you need to over complicate it by downloading another program.