2011/11" not charging battery.

Yesterday I noticed that the battery charge icon says "(Not Charging)". Also, it's only got about 6 minutes of battery power left, even though I haven't been using it unattached from AC power (other than in sleep mode while moving between AC power sources). About This Mac report is at the bottom of this post. Is there anything I can do, myself, to fix this? Do I really need a new battery this early in its life (17 months)?

Battery Information:

Model Information:
Serial Number: D86122705CYDKRQAK
Manufacturer: SMP
Device Name: bq20z451
Pack Lot Code: 0
PCB Lot Code: 0
Firmware Version: 406
Hardware Revision: 1
Cell Revision: 173
Charge Information:
Charge Remaining (mAh): 190
Fully Charged: No
Charging: No
Full Charge Capacity (mAh): 907
Health Information:
Cycle Count: 37
Condition: Service Battery
Battery Installed: Yes
Amperage (mA): 0
Voltage (mV): 7711

System Power Settings:

AC Power:
System Sleep Timer (Minutes): 20
Disk Sleep Timer (Minutes): 10
Display Sleep Timer (Minutes): 10
Wake on AC Change: No
Wake on Clamshell Open: Yes
Wake on LAN: Yes
Current Power Source: Yes
Display Sleep Uses Dim: Yes
PrioritizeNetworkReachabilityOverSleep: 0
RestartAfterKernelPanic: 157680000
Standby Delay: 4200
Standby Enabled: 1
Battery Power:
System Sleep Timer (Minutes): 10
Disk Sleep Timer (Minutes): 10
Display Sleep Timer (Minutes): 2
Wake on AC Change: No
Wake on Clamshell Open: Yes
Display Sleep Uses Dim: Yes
Reduce Brightness: Yes
RestartAfterKernelPanic: 157680000
Standby Delay: 4200
Standby Enabled: 1

Hardware Configuration:
UPS Installed: No

AC Charger Information:

Connected: Yes
ID: 0x0100
Wattage (W): 45
Revision: 0x0000
Family: 0x00ba
Serial Number: 0x004ac0fe
Charging: No