131352464719872 has 1200 divisors, whose sum is σ = 448491209100480. Its totient is φ = 38050725888000.

The previous prime is 131352464719871. The next prime is 131352464719907. The reversal of 131352464719872 is 278917464253131.

It is a happy number.

131352464719872 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 2 + 4 + 6 + 471 + 98 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131352464719871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1300519452622 + ... + 1300519452722.

Almost surely, 2^{131352464719872} is an apocalyptic number.

131352464719872 is a gapful number since it is divisible by the number (12) 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 131352464719872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224245604550240).

131352464719872 is an abundant number, since it is smaller than the sum of its proper divisors (317138744380608).

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

131352464719872 is an frugal number, since it uses more digits than its factorization.

131352464719872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 146 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 131352464719872 in words is "one hundred thirty-one trillion, three hundred fifty-two billion, four hundred sixty-four million, seven hundred nineteen thousand, eight hundred seventy-two".