131681680 has 80 divisors (see below), whose sum is σ = 336072240. Its totient is φ = 47683584.

The previous prime is 131681659. The next prime is 131681681. The reversal of 131681680 is 86186131.

It can be written as a sum of positive squares in 8 ways, for example, as 11209104 + 120472576 = 3348^2 + 10976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131681681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53926 + ... + 56314.

It is an arithmetic number, because the mean of its divisors is an integer number (4200903).

Almost surely, 2^131681680 is an apocalyptic number.

131681680 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 131681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168036120).

131681680 is an abundant number, since it is smaller than the sum of its proper divisors (204390560).

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

131681680 is a wasteful number, since it uses less digits than its factorization.

131681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 131681680 is about 11475.2638313897. The cubic root of 131681680 is about 508.7547216871.

The spelling of 131681680 in words is "one hundred thirty-one million, six hundred eighty-one thousand, six hundred eighty".