131907127396320 has 288 divisors, whose sum is σ = 473942519275680. Its totient is φ = 33315590615040.

The previous prime is 131907127396313. The next prime is 131907127396361. The reversal of 131907127396320 is 23693721709131.

131907127396320 is a `hidden beast` number, since 1 + 3 + 190 + 7 + 127 + 3 + 9 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109415062 + ... + 110614058.

It is an arithmetic number, because the mean of its divisors is an integer number (1645633747485).

Almost surely, 2^{131907127396320} is an apocalyptic number.

131907127396320 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 131907127396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236971259637840).

131907127396320 is an abundant number, since it is smaller than the sum of its proper divisors (342035391879360).

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

131907127396320 is a wasteful number, since it uses less digits than its factorization.

131907127396320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203058 (or 1203047 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 131907127396320 in words is "one hundred thirty-one trillion, nine hundred seven billion, one hundred twenty-seven million, three hundred ninety-six thousand, three hundred twenty".