131343264000 has 432 divisors, whose sum is σ = 508980601584. Its totient is φ = 32329728000.

The previous prime is 131343263969. The next prime is 131343264007. The reversal of 131343264000 is 462343131.

131343264000 is a `hidden beast` number, since 1 + 3 + 13 + 4 + 3 + 2 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41400854784 + 89942409216 = 203472^2 + 299904^2 .

It is not an unprimeable number, because it can be changed into a prime (131343264007) 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, 3726460 + ... + 3761540.

It is an arithmetic number, because the mean of its divisors is an integer number (1178195837).

Almost surely, 2^131343264000 is an apocalyptic number.

131343264000 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 131343264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254490300792).

131343264000 is an abundant number, since it is smaller than the sum of its proper divisors (377637337584).

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

131343264000 is a wasteful number, since it uses less digits than its factorization.

131343264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35131 (or 35104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 131343264000 in words is "one hundred thirty-one billion, three hundred forty-three million, two hundred sixty-four thousand".