Don't Know if it has a number, but it is called an Easy Light. They have another smaller that has a metal perforated screen called a micro-lite.
The current incarnation is called the Easy light, but this lantern has had a few names over the last thirty or forty years of production, so I wouldn't jump to the conclusion that this lamp had that name. This one seems to have a solid bail unlike the wire bail of the recent models. It also has a rather retro looking red control wheel rather than the large black control wheel on older models or the small black control wheel found on the newer models. The part number will probably be 22XX or 32XX, what the last two digits are is not something that I know.
The part number for the lamp pictured is 3240 or 3250 one is brass and the other is stainless steel, but I'm not sure which number relates to which. It seems to have been sold under a few names: 'Moonlight' and 'Wild Life' to name but two. HTH