Amino acid sequence transmembrane protein structure

I've been given an amino acid sequence, and I need to determine what features of the sequence suggest that it's a transmembrane protein. I then have to draw a schematic diagram of it to show where each amino acid is.

Here's the sequence:
glu-arg-arg-gln-leu-lys-his-his-lys-ser-glu-pro-glu-ile-leu-leu-ile-ile-phe-gly-val-met-ala-gly-val-ile-gly-gly-ile-leu-ile-leu-ile-ser-his-gly-ile-arg-arg-leu-ile-lys-lys-ser-pro-ser-asp-val-lys-pro-leu-pro

I'm not really sure where to start.
I took a look at each amino acid's polarity/charge, but from what I can tell it doesn't make any sense (I'm not really sure exactly what pattern I'm looking for, anyway). The chain is mostly non-polar, but the placement of charged AA and polar AA don't follow any pattern that would make sense for a transmembrane protein.

I'd love any assistance as to what I should look for in the sequence, what are some hallmarks of transmembrane protein AA sequences, or anything else that may help me figure this (and future) problems out.

Thanks!