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 $I$