Four digit numbers are made from the digits 0, 1, 2, 3, 4, 5, with no digit repeated…

Step 1. All numbers. The first digit has $5$ choices (not $0$). The other three places use $5$ digits left: $5 \times 5 \times 4 \times 3 = 300$.

Step 2. Ending in 0. The first three places use the other $5$ digits: $5 \times 4 \times 3 = 60$.

Step 3. Ending in 2 or 4. The first digit cannot be $0$ or the last digit: $4$ choices. The middle uses $4$ and $3$: $2 \times 4 \times 4 \times 3 = 96$.

Step 4. Add the cases. $60 + 96 = 156$.