python user input error int vs string

I tried to search for this error, but i didnt find it so here it is:

I try to enter input in a python 3 script running in linux, which can only be 0-5. I do this using the following code:

    while True:
        type = input("Please choose a type:\n1) a\n2) b\n3) c\n4) d\n0) EXIT\n"))

        if type == "0":
            sys.exit()

        elif type == "1" or type == "2" or type == "3" or type == "4":
            print("You entered: %s" %type )
            break

        else:
            os.system("clear")
            print("Input entered is invalid, please try again.\n")

The program runs fine when I enter numbers, but when I enter a letter it crashes. Please help :(

Traceback (most recent call last):
  File "test.py", line 21, in <module>
    type = input("Please choose a type:\n1) a\n2) b\n3) c\n4) d\n0) EXIT\n"))   
  File "<string>", line 1, in <module>
NameError: name 'h' is not defined