131063760 has 120 divisors (see below), whose sum is σ = 455406120. Its totient is φ = 33739776.

The previous prime is 131063747. The next prime is 131063783. The reversal of 131063760 is 67360131.

131063760 is a `hidden beast` number, since 13 + 10 + 637 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48108096 + 82955664 = 6936^2 + 9108^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17742 + ... + 24018.

It is an arithmetic number, because the mean of its divisors is an integer number (3795051).

Almost surely, 2^131063760 is an apocalyptic number.

131063760 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 131063760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227703060).

131063760 is an abundant number, since it is smaller than the sum of its proper divisors (324342360).

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

131063760 is a wasteful number, since it uses less digits than its factorization.

131063760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6316 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 131063760 is about 11448.3081719527. The cubic root of 131063760 is about 507.9576917252.

The spelling of 131063760 in words is "one hundred thirty-one million, sixty-three thousand, seven hundred sixty".