131540698828800 has 3120 divisors, whose sum is σ = 558172148624640. Its totient is φ = 30408305541120.

The previous prime is 131540698828733. The next prime is 131540698828801. The reversal of 131540698828800 is 8828896045131.

131540698828800 is a `hidden beast` number, since 1 + 3 + 1 + 540 + 6 + 9 + 8 + 8 + 2 + 8 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (131540698828801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 99126373737 + ... + 99126375063.

Almost surely, 2^{131540698828800} is an apocalyptic number.

131540698828800 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 131540698828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279086074312320).

131540698828800 is an abundant number, since it is smaller than the sum of its proper divisors (426631449795840).

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

131540698828800 is a wasteful number, since it uses less digits than its factorization.

131540698828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 131540698828800 in words is "one hundred thirty-one trillion, five hundred forty billion, six hundred ninety-eight million, eight hundred twenty-eight thousand, eight hundred".