131082576 has 80 divisors (see below), whose sum is σ = 355185600. Its totient is φ = 41610240.

The previous prime is 131082571. The next prime is 131082583. The reversal of 131082576 is 675280131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131082571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83850 + ... + 85398.

It is an arithmetic number, because the mean of its divisors is an integer number (4439820).

Almost surely, 2^131082576 is an apocalyptic number.

131082576 is a gapful number since it is divisible by the number (16) 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 131082576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177592800).

131082576 is an abundant number, since it is smaller than the sum of its proper divisors (224103024).

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

131082576 is a wasteful number, since it uses less digits than its factorization.

131082576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 131082576 is about 11449.1299232736. The cubic root of 131082576 is about 507.9819986594.

The spelling of 131082576 in words is "one hundred thirty-one million, eighty-two thousand, five hundred seventy-six".