131929966080 has 1280 divisors, whose sum is σ = 553657420800. Its totient is φ = 29420421120.

The previous prime is 131929966039. The next prime is 131929966087. The reversal of 131929966080 is 80669929131.

131929966080 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 29 + 9 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131929966087) 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 127 ways as a sum of consecutive naturals, for example, 762600874 + ... + 762601046.

It is an arithmetic number, because the mean of its divisors is an integer number (432544860).

Almost surely, 2^131929966080 is an apocalyptic number.

131929966080 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 131929966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276828710400).

131929966080 is an abundant number, since it is smaller than the sum of its proper divisors (421727454720).

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

131929966080 is a wasteful number, since it uses less digits than its factorization.

131929966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 131929966080 in words is "one hundred thirty-one billion, nine hundred twenty-nine million, nine hundred sixty-six thousand, eighty".