131877442327680 has 512 divisors, whose sum is σ = 537064510924800. Its totient is φ = 29958481981440.

The previous prime is 131877442327663. The next prime is 131877442327681. The reversal of 131877442327680 is 86723244778131.

131877442327680 is a `hidden beast` number, since 1 + 3 + 1 + 87 + 7 + 442 + 32 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (131877442327681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16372135 + ... + 23060825.

It is an arithmetic number, because the mean of its divisors is an integer number (1048954122900).

Almost surely, 2^{131877442327680} is an apocalyptic number.

131877442327680 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 131877442327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268532255462400).

131877442327680 is an abundant number, since it is smaller than the sum of its proper divisors (405187068597120).

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

131877442327680 is a wasteful number, since it uses less digits than its factorization.

131877442327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688889 (or 6688871 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 131877442327680 in words is "one hundred thirty-one trillion, eight hundred seventy-seven billion, four hundred forty-two million, three hundred twenty-seven thousand, six hundred eighty".