131708312064 has 800 divisors, whose sum is σ = 470573452800. Its totient is φ = 36643332096.

The previous prime is 131708312063. The next prime is 131708312123. The reversal of 131708312064 is 460213807131.

It is a happy number.

131708312064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131708312063) 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 79 ways as a sum of consecutive naturals, for example, 668570014 + ... + 668570210.

It is an arithmetic number, because the mean of its divisors is an integer number (588216816).

Almost surely, 2^131708312064 is an apocalyptic number.

131708312064 is a gapful number since it is divisible by the number (14) 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 131708312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235286726400).

131708312064 is an abundant number, since it is smaller than the sum of its proper divisors (338865140736).

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

131708312064 is an frugal number, since it uses more digits than its factorization.

131708312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 131708312064 in words is "one hundred thirty-one billion, seven hundred eight million, three hundred twelve thousand, sixty-four".