For general purposes, accrued interest payable is generally a current liability, however that depends on one major factor. When will the liability be paid? Any liability that a company can reasonably expect to pay off in 12 months (or less) or one accounting period is a "current liability" any liability that will be paid off at a longer time is a "long term liability"
So if the accrued interest will be paid in 12 months or less, then it is a current liability.
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