At a discharge rate of 1.5a and a 12V 50 amp-hour battery would give you ~33.3333333 hours run time. (Theoretically.) That is a good estimate for Lithium Ion, Lithium Polymer, NiCad, and NiMH batteries. Not so much for alkaline, CZ, LA, LTC, or CC. Some batteries have a big change in capacity, based on how fast they are discharged, and you have to go to the batteries discharge curve in the data sheets.
Translating that to a UPS system, it equates to approximately a 600VA UPS, that will run the load for ~2 hours. (power factor x battery voltage x Ah)/wattage (180 watts; low end UPS power factor 0.6.) Depending on the budget, higher power factor units are common, up to around 0.9.
Using load / power factor / bus voltage (12 volts for a single battery) x factor of 1.3 (due to exponential nature of discharge curves) you are looking at a 32.5Ah battery (standard size would be 35Ah) or a 420VA ups—for one hour run time. Want to go for 8 hours? 8 x 420 = 3360VA. Care to go for 24 hours? These are REAL world numbers.
Just for grins, a 50Ah Li-ion battery will cost around $700.00. Given that, hobbyist DIYers go to LA batteries. I don't want to bring the last debate over DIY UPS systems (and they are ALL UPS systems, albeit lacking in many respects) into this thread, because I think the emphasis is on a commercial solution, and we are not talking about a "large" current draw.
UPS systems are not designed or intended for long term use, rather perhaps up to 10 minutes to provide a window for the safe shut down of electronic equipment. Running them for extended periods of time, is where you start to have problems.