Here are some clues to help if you are stuck...
- $A, E, H$ and $T$ are evenly divisible by $2$
- $G, I, P$ and $U$ are not evenly divisible by $2$
- $T$ and $U$ are square numbers
- $T$ has twice the value $A$ but only half the value of $H$
- $P$ is only half of $E$ but three times $S$
- $G$ is greater than $I$