131267482744320 has 3200 divisors, whose sum is σ = 548004175488000. Its totient is φ = 29882867908608.

The previous prime is 131267482744303. The next prime is 131267482744367. The reversal of 131267482744320 is 23447284762131.

131267482744320 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 6 + 7 + 48 + 274 + 4 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 659635591581 + ... + 659635591779.

It is an arithmetic number, because the mean of its divisors is an integer number (171251304840).

Almost surely, 2^{131267482744320} is an apocalyptic number.

131267482744320 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 131267482744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274002087744000).

131267482744320 is an abundant number, since it is smaller than the sum of its proper divisors (416736692743680).

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

131267482744320 is an frugal number, since it uses more digits than its factorization.

131267482744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 131267482744320 in words is "one hundred thirty-one trillion, two hundred sixty-seven billion, four hundred eighty-two million, seven hundred forty-four thousand, three hundred twenty".