131893056 has 112 divisors (see below), whose sum is σ = 391444480. Its totient is φ = 43545600.

The previous prime is 131893043. The next prime is 131893087. The reversal of 131893056 is 650398131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131893056.

It is a congruent number.

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, 219156 + ... + 219756.

It is an arithmetic number, because the mean of its divisors is an integer number (3495040).

Almost surely, 2^131893056 is an apocalyptic number.

131893056 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 131893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195722240).

131893056 is an abundant number, since it is smaller than the sum of its proper divisors (259551424).

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

131893056 is a wasteful number, since it uses less digits than its factorization.

131893056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 131893056 is about 11484.4702098094. The cubic root of 131893056 is about 509.0267945851.

The spelling of 131893056 in words is "one hundred thirty-one million, eight hundred ninety-three thousand, fifty-six".