131871096 has 192 divisors, whose sum is σ = 440294400. Its totient is φ = 34815744.

The previous prime is 131871083. The next prime is 131871097. The reversal of 131871096 is 690178131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131871096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131871097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449926 + ... + 450218.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^131871096 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 131871096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

131871096 is an abundant number, since it is smaller than the sum of its proper divisors (308423304).

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

131871096 is a wasteful number, since it uses less digits than its factorization.

131871096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 131871096 is about 11483.5140963034. The cubic root of 131871096 is about 508.9985422793.

The spelling of 131871096 in words is "one hundred thirty-one million, eight hundred seventy-one thousand, ninety-six".