131286320 has 80 divisors (see below), whose sum is σ = 335148192. Its totient is φ = 47431680.

The previous prime is 131286319. The next prime is 131286341. The reversal of 131286320 is 23682131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131286320.

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 15 ways as a sum of consecutive naturals, for example, 169454 + ... + 170226.

Almost surely, 2^131286320 is an apocalyptic number.

131286320 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 131286320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167574096).

131286320 is an abundant number, since it is smaller than the sum of its proper divisors (203861872).

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

131286320 is a wasteful number, since it uses less digits than its factorization.

131286320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 131286320 is about 11458.0242624983. The cubic root of 131286320 is about 508.2450509294.

The spelling of 131286320 in words is "one hundred thirty-one million, two hundred eighty-six thousand, three hundred twenty".