131982312585600 has 576 divisors, whose sum is σ = 474365025644640. Its totient is φ = 34940312616960.

The previous prime is 131982312585589. The next prime is 131982312585619. The reversal of 131982312585600 is 6585213289131.

131982312585600 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 8 + 2 + 3 + 1 + 25 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2706916422 + ... + 2706965178.

Almost surely, 2^{131982312585600} is an apocalyptic number.

131982312585600 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 131982312585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237182512822320).

131982312585600 is an abundant number, since it is smaller than the sum of its proper divisors (342382713059040).

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

131982312585600 is a wasteful number, since it uses less digits than its factorization.

131982312585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49467 (or 49447 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 131982312585600 in words is "one hundred thirty-one trillion, nine hundred eighty-two billion, three hundred twelve million, five hundred eighty-five thousand, six hundred".