B737 Undifferentiated or Other Model
Flight Crew Air Transport Pilot (ATP)
Deviation - Speed All Types; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Overcame Equipment Problem
Human Factors
When we arrived in ZZZ; we called maintenance to check a right Inertial Reference System (IRS) deviation. They came out and checked it and told us not to mess with any settings on the FMS or realignment until they were done. There was poor communication with maintenance as to how long this would take. The Passengers were boarding. It took almost an hour before we could hop in the flight deck to perform the setup for the next flight. I was definitely rushed and was focused on getting the FMS set up. I got the clearance and read it; but didn't look at the departure in the EFB. When we were ready to push; the fueler was pulling the hose to the aircraft and we had to wait for the Ramp Agents to tell him this was the wrong aircraft. There were people standing up in the aisle and we had to wait for them to sit. We taxied out to [the runway] and as we neared the runway; I realized I didn't know if we were on a heading or LNAV for this departure; so I looked in the EFB as we were taking the runway.We took off and after the heading was selected; we were switched to Departure. I had to bring up the ATC clearance to remember if we were to climb via or not; and then I talked to Departure. I either missed hearing the flaps up call; or the Pilot Flying (PF) didn't make the call and we kept climbing with the flaps not up. We both noticed a vibration and noise and thought it could be the fuel door left open; because that had just happened on a previous flight a few days before. We caught the mistake at FL 330.[Suggestion] SLOW DOWN!! All of the everyday distractions are easy to take care of if we are not rushed. I need to make sure I understand and read through the departure before we leave the gate. It's easy to get caught up in the scheduling crunch; but I should just say; SLOW DOWN
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B737 flight crew reported that being unable to climb beyond FL330 because the flaps were not completely up.