D.M.
I'm just wondering have you started solids? Is he on a regular jarred food schedule with three meals a day? By this age, my son was on a regular schedule of bottle first thing in the morning, then 'breakfast'...mid morning bottle, then 'lunch'...bottle in early evening, hten 'dinner'. We'd do a bottle before bedtime and he'd sleep in sets of 5-6 hours...but, never through the night.
Even now, at 2.5 years old he doesn't really sleep through the night. But, he get good chunks in between waking up for sips of water or to tell me it's dark outside.
The thing is even if he's eating jarred food during the day, breastmilk/formula is the core source of nourishment for infants until the age of ONE. If he's only drinking one bottle during the day and a few snacks, he's making up for it at night. He's hungry and he's sort of on a backward routine...so, you're not getting ANY rest.
To adjust this try shifting his feedings. When he wakes up offer him a bottle and let him take as much as he needs. Then, in the mid-morning (3-4 hours later) offer another one and then after nap before lunch (if he's taking two naps)...once, he starts getting the nourishment during the day hopefully he'll shift his sleep patterns and get some more rest at night. After that you'll be able to start shifting away from the night feedings altogether...but, be patient and give it time. It won't happen over night.
Just remember, babies know what they need. So, even if you shift his feedings during the day, he may still need a bottle half way through the night until his body is adjusted to the 'solid food' and is able to rely on that for nourishment. This could take a while, so just take a deep breath and look at that little person and remember he'll thank you for ALL this someday! Oh, and one day you'll miss these sleepless nights and wonder where they went...I know it doesn't feel like it now, but you will.
Good Luck!