131624640 has 168 divisors, whose sum is σ = 517489440. Its totient is φ = 30081024.

The previous prime is 131624617. The next prime is 131624657. The reversal of 131624640 is 46426131.

131624640 = T₂₇₂₅ + T₂₇₂₆ + ... + T₂₇₅₉.

131624640 is a `hidden beast` number, since 1 + 3 + 16 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16896 + ... + 23424.

Almost surely, 2^131624640 is an apocalyptic number.

131624640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258744720).

131624640 is an abundant number, since it is smaller than the sum of its proper divisors (385864800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131624640 is a wasteful number, since it uses less digits than its factorization.

131624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 131624640 is about 11472.7782162822. The cubic root of 131624640 is about 508.6812526963.

The spelling of 131624640 in words is "one hundred thirty-one million, six hundred twenty-four thousand, six hundred forty".