131371968 has 224 divisors, whose sum is σ = 437871616. Its totient is φ = 33841152.

The previous prime is 131371951. The next prime is 131371987. The reversal of 131371968 is 869173131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1275405 + ... + 1275507.

It is an arithmetic number, because the mean of its divisors is an integer number (1954784).

Almost surely, 2^131371968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218935808).

131371968 is an abundant number, since it is smaller than the sum of its proper divisors (306499648).

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

131371968 is a wasteful number, since it uses less digits than its factorization.

131371968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 131371968 is about 11461.7611212239. The cubic root of 131371968 is about 508.3555491381.

The spelling of 131371968 in words is "one hundred thirty-one million, three hundred seventy-one thousand, nine hundred sixty-eight".