131342415823800 has 384 divisors, whose sum is σ = 463623501792000. Its totient is φ = 34158322598400.

The previous prime is 131342415823721. The next prime is 131342415823847. The reversal of 131342415823800 is 8328514243131.

131342415823800 is a `hidden beast` number, since 1 + 3 + 1 + 34 + 2 + 4 + 1 + 582 + 38 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153056331 + ... + 153912069.

It is an arithmetic number, because the mean of its divisors is an integer number (1207352869250).

Almost surely, 2^{131342415823800} is an apocalyptic number.

131342415823800 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 131342415823800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231811750896000).

131342415823800 is an abundant number, since it is smaller than the sum of its proper divisors (332281085968200).

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

131342415823800 is a wasteful number, since it uses less digits than its factorization.

131342415823800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856468 (or 856453 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 131342415823800 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred fifteen million, eight hundred twenty-three thousand, eight hundred".