131980224942720 has 2560 divisors, whose sum is σ = 607235309936640. Its totient is φ = 26518523904000.

The previous prime is 131980224942707. The next prime is 131980224942763. The reversal of 131980224942720 is 27249422089131.

131980224942720 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 80 + 2 + 2 + 494 + 2 + 72 + 0 = 666.

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

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 319 ways as a sum of consecutive naturals, for example, 24664588045 + ... + 24664593395.

It is an arithmetic number, because the mean of its divisors is an integer number (237201292944).

Almost surely, 2^{131980224942720} is an apocalyptic number.

131980224942720 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 131980224942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303617654968320).

131980224942720 is an abundant number, since it is smaller than the sum of its proper divisors (475255084993920).

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

131980224942720 is a wasteful number, since it uses less digits than its factorization.

131980224942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 131980224942720 in words is "one hundred thirty-one trillion, nine hundred eighty billion, two hundred twenty-four million, nine hundred forty-two thousand, seven hundred twenty".