Depends. How many amps peak does the system pull and for how long, and how many amps continuous? You need to know that to know the "C-rate" of cells that you must build the pack from, and how many parallel or how large a cell you will need to get.
Which kind of cells you can use will also be determined by how much DIY you can do, or how big your budget is to have someone else build a pack from them, and/or whether the vendor or manufacturer makes/sells mounting/etc hardware.
Assuming "t125" means "125Ah", then considering FLA's peukert losses that's about 60Ah, then you don't need a very large capacity pack, unless you use low-C-rate cells and have to parallel a number of them to reach the amps the system will need.
You said 144V, 156V nominal. What's the max voltage? (I suspect you have the numbers mixed up, and mean 144V nominal (average) and 156V full). What's the minimum voltage the system must have?
Most Li cells will be either 3.2V or 3.7V nominal (average) voltage, so depending on type you'd need about twice as many of them in series as you have FLAs.
Thundersky / CALB / etc type LiFePO4 cells are common for such conversions, cuz they're already in plastic casings and are relatively easy to strap into packs, and bolt interconnects to. Lots of examples of that on EVAlbum and on DIY Electric Car forum.
A new option recently available is EIG NMC cells, of which there are some recent discussions in the Battery forum and in the Online Market section. But they are only 20Ah each, so you'd have to make mounting and paralleling / seriesing setups for them. You'd need less in series than with the TS/CALB types as their voltage is higher, but more in parallel cuz their capacity is lower. I'm not sure if EIG will also sell the moutning hardware or not, or just the cells, at least in small amounts.
There are also EIG LiFePO4 cells in the same physical format.