131480776120320 has 2304 divisors, whose sum is σ = 523592816947200. Its totient is φ = 30226120704000.

The previous prime is 131480776120301. The next prime is 131480776120321. The reversal of 131480776120320 is 23021677084131.

131480776120320 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 8 + 0 + 7 + 7 + 612 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×131480776120320² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131480776120321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 448739850094 + ... + 448739850386.

It is an arithmetic number, because the mean of its divisors is an integer number (227253826800).

Almost surely, 2^{131480776120320} is an apocalyptic number.

131480776120320 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 131480776120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261796408473600).

131480776120320 is an abundant number, since it is smaller than the sum of its proper divisors (392112040826880).

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

131480776120320 is a wasteful number, since it uses less digits than its factorization.

131480776120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 131480776120320 in words is "one hundred thirty-one trillion, four hundred eighty billion, seven hundred seventy-six million, one hundred twenty thousand, three hundred twenty".