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Contact Customer Service with the number in question and they should be able to block that number. Unfortunately this is a Verizon forum and I dont know StraightTalk information.
Currently work in financial services at verizon but have experience in customer service. The call center I work at is closing down but I can help with a lot of the ins and outs of getting around verizon.
On straight talk phone u can go into reject list its under where u put in contacts and junk and then u can add numbers to that and it will send the person right to voice mail Although you cant block the texts from coming in.