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A few notes:

• A more pythonic way to determine if a given value is a palindrome:

   str(n) == str(n)[::-1]
  

  You do something similar in your code, but are converting from a string back to an int. This is more readable to me.

• Use the palindrome test as a check with the while loop:

   while str(n) != str(n)[::-1]:
  

• In the while loop, use the logic you already have to add on a reversed int:

   n += int(str(n)[::-1])
  

• I would make it easier to input a number for the code to use, I did this with argparse.

   def get_args():
       parser = argparse.ArgumentParser(description=
           'Generate palindrome from number when added to its reverse')
       parser.add_argument('num', type=int, help='number for palindrome generator')
       return parser.parse_args()
  

Final Code

import argparse

def get_args():
    parser = argparse.ArgumentParser(description=
        'Generate palindrome from number when added to its reverse')
    parser.add_argument('num', type=int, help='number for palindrome generator')
    return parser.parse_args()
    

def main():
    args = get_args()
    while str(args.num) != str(args.num)[::-1]:
        args.num += int(str(args.num)[::-1])
        
    print(args.num)

if __name__ == "__main__":
    main()

Test run:

$ python test.py 146

787