131308560 has 320 divisors, whose sum is σ = 488540160. Its totient is φ = 32348160.

The previous prime is 131308547. The next prime is 131308603. The reversal of 131308560 is 65803131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2477494 + ... + 2477546.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 2^131308560 is an apocalyptic number.

131308560 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 131308560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

131308560 is an abundant number, since it is smaller than the sum of its proper divisors (357231600).

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

131308560 is a wasteful number, since it uses less digits than its factorization.

131308560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131308560 is about 11458.9947203060. The cubic root of 131308560 is about 508.2737483386.

The spelling of 131308560 in words is "one hundred thirty-one million, three hundred eight thousand, five hundred sixty".