My blower's UL rating is 150 Watts, but as usual, the rated figure is conservative. My Kill a Watt says it draws ~75 Watts.
Even the rated draw is well within the continuous power ratings of most desktop computer UPS'es
As others noted, the limiting factor is the batteries, and unfortunately, UPS makers usually don't make the battery specs easy to find, and the batteries aren't as big as you might expect them to be. The general intention of a UPS isn't to get you through a long power outage, except maybe some of the big commercial units it sounds like TheRambler works with. It's to give you time to finish what you're working on at the moment, save your files, and shut down your computer without losing data.
However, between spec sheets and parts manuals that might list replacement battery specs, you can usually find the info you need.
So for example, this UPS, which is one of the larger consumer/small business types:
http://www.amazon.com/APC-BR1500G-B...e=UTF8&qid=1447453746&sr=8-3&keywords=apc+ups
I found a datasheet here:
http://www.apc.com/products/resource/include/techspec_index.cfm?base_sku=BR1500G&total_watts=200
It looks like a 75 Watt load will run for not quite 1-1/2 hours. That's not long. They also sell an add-on battery pack that will triple that time, but the combined cost of the UPS and the add-on battery is over $300.
It would be more cost-effective to buy a deep-cycle battery (Available at some auto parts, RV, or boat stores) and a separate inverter. For example, a group 27 deep cycle battery usually holds at least 800 Watt-hours, and I think can be had for about $150. Hypothetically, that could run my blower for 10+ hours - maybe more like 8 hours since inverters waste some energy.
Add $50 for an inverter*, and you've got 3 times the run time for similar or lower cost. Unfortunately, it's a lot less convenient, because not only is it multiple devices that aren't neatly packaged together, but it also won't automatically kick in when the power is out**, and you have to keep the battery topped up manually every few months (or keep it on a battery tender). And a battery that big is heavy (50+ pounds)
* Cheap inverters are known as modified-sine wave inverters - they don't accurately replicate a smooth AC signal. Some devices, including many fan motors, may not run well or even suffer a premature death on these. UPS's usually use this type of inverter, too (modern computer power suppliers are able to deal with it). Unfortunately, so-called pure sine wave inverters are a lot more expensive - a name brand 300W model costs about $150. Generic units might be had for around $100.