131096160 has 288 divisors, whose sum is σ = 495331200. Its totient is φ = 31371264.

The previous prime is 131096089. The next prime is 131096167. The reversal of 131096160 is 61690131.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131096167) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 879766 + ... + 879914.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^131096160 is an apocalyptic number.

131096160 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 131096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

131096160 is an abundant number, since it is smaller than the sum of its proper divisors (364235040).

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

131096160 is a wasteful number, since it uses less digits than its factorization.

131096160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 131096160 is about 11449.7231407576. The cubic root of 131096160 is about 507.9995453320. Note that the first 3 decimals are identical.

The spelling of 131096160 in words is "one hundred thirty-one million, ninety-six thousand, one hundred sixty".