131088768 has 128 divisors (see below), whose sum is σ = 378069120. Its totient is φ = 40083456.

The previous prime is 131088731. The next prime is 131088779. The reversal of 131088768 is 867880131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280471 + ... + 280937.

It is an arithmetic number, because the mean of its divisors is an integer number (2953665).

Almost surely, 2^131088768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189034560).

131088768 is an abundant number, since it is smaller than the sum of its proper divisors (246980352).

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

131088768 is a wasteful number, since it uses less digits than its factorization.

131088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 131088768 is about 11449.4003336419. The cubic root of 131088768 is about 507.9899971164.

The spelling of 131088768 in words is "one hundred thirty-one million, eighty-eight thousand, seven hundred sixty-eight".