Chemical Engineering & Chemistry dual major question

I am a senior in high school right now and am 100% majoring in chemical engineering. I am considering adding on a chemistry major as I have heard a lot of the classes overlap so adding chemistry would not be that difficult. What are your opinions on this. I also really enjoy math and know generally that engineering has tons of math courses already. If I wanted to do ChemE + math how much harder would that be? I already know ChemE is an extremely difficult major so I want to be as well prepared if I do decide to double major.

Thank you so much!!