131886012672 has 576 divisors, whose sum is σ = 437971968000. Its totient is φ = 38947848192.

The previous prime is 131886012619. The next prime is 131886012683. The reversal of 131886012672 is 276210688131.

131886012672 is a `hidden beast` number, since 1 + 3 + 18 + 8 + 601 + 26 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141965104 + ... + 141966032.

It is an arithmetic number, because the mean of its divisors is an integer number (760368000).

Almost surely, 2^131886012672 is an apocalyptic number.

131886012672 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 131886012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218985984000).

131886012672 is an abundant number, since it is smaller than the sum of its proper divisors (306085955328).

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

131886012672 is a wasteful number, since it uses less digits than its factorization.

131886012672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 131886012672 in words is "one hundred thirty-one billion, eight hundred eighty-six million, twelve thousand, six hundred seventy-two".