While each trap is numbered, in the past I've had players call traps by what they know them as on their own server, which can be different to what I call them. So here is my official list of names for each trap, along with it's number.
Automatic traps that Blue cannot effect/activate are listed as well.

1) Drawers Trap
2) Pitfall Trap
3) Sticky Trap
4) OPAC (Over Powered Air Conditioning)
5) Stair Trap
Auto Trap 1) Vertical Lasers
6) Bomb Trap
7) Security Laser Trap
8) Breaking Barrels
Auto Trap 2) "Deal or No Deal"
Auto Trap 3) Keypad
9) Toxic Pits
10) HL3 Vault Gas Trap
11) Vent Fan Trap
12) Water Trap
13) Electric Wire Trap
14) Falling Barrel Trap
Auto Trap 4) "Do not Feed the Birds"
15) Computer Trap
16) Crush Trap
17) Fire Trap
18) "Shoop-Da-Whoop"