Depends on the size of the winnings, the payout schedule, the tax implications, etc, etc.
I would study the question with a very very good financial and tax advisor (the kind that cost hundreds of dollars an hour - and are used to working with "accredited" investors: I actually know who I''d go to). I might also consider moving prior to claiming the prize. Washington State and I believe Florida have no personall income taxes.
While the instant reaction is to take the lump sum, I would look at what would likely bring the highest long term disposable income per year over the payout schedule.