131708712960 has 1152 divisors, whose sum is σ = 535397990400. Its totient is φ = 30656102400.

The previous prime is 131708712923. The next prime is 131708712977. The reversal of 131708712960 is 69217807131.

131708712960 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1037076417 + ... + 1037076543.

It is an arithmetic number, because the mean of its divisors is an integer number (464755200).

Almost surely, 2^131708712960 is an apocalyptic number.

131708712960 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 131708712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267698995200).

131708712960 is an abundant number, since it is smaller than the sum of its proper divisors (403689277440).

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

131708712960 is a wasteful number, since it uses less digits than its factorization.

131708712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 131708712960 in words is "one hundred thirty-one billion, seven hundred eight million, seven hundred twelve thousand, nine hundred sixty".