131631768576 has 1056 divisors, whose sum is σ = 505621445760. Its totient is φ = 33721712640.

The previous prime is 131631768571. The next prime is 131631768641. The reversal of 131631768576 is 675867136131.

131631768576 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 3 + 1 + 7 + 68 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3810240) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (131631768571) 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 95 ways as a sum of consecutive naturals, for example, 1803174876 + ... + 1803174948.

Almost surely, 2^131631768576 is an apocalyptic number.

131631768576 is a gapful number since it is divisible by the number (16) 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 131631768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252810722880).

131631768576 is an abundant number, since it is smaller than the sum of its proper divisors (373989677184).

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

131631768576 is an equidigital number, since it uses as much as digits as its factorization.

131631768576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 96 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 131631768576 in words is "one hundred thirty-one billion, six hundred thirty-one million, seven hundred sixty-eight thousand, five hundred seventy-six".