If $E, U, L, S, R, T$ represent $1, 2, 3, 4, 5, 6$ (different letters represent different numbers), and satisfy:
(1) $E+U+L=6$;
(2) $S+R+U+T=18$;
(3) $U \times T=15$;
(4) $S \times L=8$.

Then the six-digit number $\overline{E U L S R T}=$ _. $\qquad$
(1) Since $E+U+L=6$;

and $1+2+3=6$;
thus $\{E, U, L\}=\{1,2,3\}$;
(2) Since $S+R+U+T=18$;
and $6+5+4+3=18$;
thus $\{S, R, U, T\}=\{6,5,4,3\}$;
(3) Since $U \times T=15$;
and $15=1 \times 15=3 \times 5$;
thus $\{U, T\}=\{3,5\}$;
(4) Since $S \times L=8$;

and $8=1 \times 8=2 \times 4$;
thus $\{S, L\}=\{2,4\}$.
From (1) and (3), we get $U=3$, then $T=5$;
From (1) and (4), we get $L=2$, then $S=4$;
Finally, combining (1) and (2), we get $E=1, R=6$;
Therefore, the six-digit number $\overline{E U L S R T}=132465$.