131255884800 has 1584 divisors, whose sum is σ = 547391250432. Its totient is φ = 29845094400.

The previous prime is 131255884741. The next prime is 131255884843. The reversal of 131255884800 is 8488552131.

131255884800 is a `hidden beast` number, since 1 + 3 + 1 + 25 + 588 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 2792678377 + ... + 2792678423.

Almost surely, 2^131255884800 is an apocalyptic number.

131255884800 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 131255884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273695625216).

131255884800 is an abundant number, since it is smaller than the sum of its proper divisors (416135365632).

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

131255884800 is a wasteful number, since it uses less digits than its factorization.

131255884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 131255884800 in words is "one hundred thirty-one billion, two hundred fifty-five million, eight hundred eighty-four thousand, eight hundred".