131305968 has 160 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 41174784.

The previous prime is 131305957. The next prime is 131305969. The reversal of 131305968 is 869503131.

It is a happy number.

131305968 is a `hidden beast` number, since 1 + 31 + 30 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131305969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588705 + ... + 588927.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^131305968 is an apocalyptic number.

131305968 is a gapful number since it is divisible by the number (18) 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 131305968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

131305968 is an abundant number, since it is smaller than the sum of its proper divisors (268668432).

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

131305968 is a wasteful number, since it uses less digits than its factorization.

131305968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 131305968 is about 11458.8816208215. The cubic root of 131305968 is about 508.2704039153.

The spelling of 131305968 in words is "one hundred thirty-one million, three hundred five thousand, nine hundred sixty-eight".