131907112446132 has 384 divisors, whose sum is σ = 397793391206400. Its totient is φ = 37493852977152.

The previous prime is 131907112446121. The next prime is 131907112446167. The reversal of 131907112446132 is 231644211709131.

131907112446132 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 0 + 7 + 1 + 1 + 24 + 4 + 613 + 2 = 666.

It is a super-2 number, since 2×131907112446132² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7322875158 + ... + 7322893170.

It is an arithmetic number, because the mean of its divisors is an integer number (1035920289600).

Almost surely, 2^{131907112446132} is an apocalyptic number.

131907112446132 is a gapful number since it is divisible by the number (12) 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 131907112446132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198896695603200).

131907112446132 is an abundant number, since it is smaller than the sum of its proper divisors (265886278760268).

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

131907112446132 is a wasteful number, since it uses less digits than its factorization.

131907112446132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27212 (or 27204 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 131907112446132 in words is "one hundred thirty-one trillion, nine hundred seven billion, one hundred twelve million, four hundred forty-six thousand, one hundred thirty-two".