131292864672 has 192 divisors, whose sum is σ = 356374287360. Its totient is φ = 42297292800.

The previous prime is 131292864671. The next prime is 131292864673. The reversal of 131292864672 is 276468292131.

It is an interprime number because it is at equal distance from previous prime (131292864671) and next prime (131292864673).

It is not an unprimeable number, because it can be changed into a prime (131292864671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346418979 + ... + 346419357.

It is an arithmetic number, because the mean of its divisors is an integer number (1856116080).

Almost surely, 2^131292864672 is an apocalyptic number.

131292864672 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 131292864672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178187143680).

131292864672 is an abundant number, since it is smaller than the sum of its proper divisors (225081422688).

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

131292864672 is a wasteful number, since it uses less digits than its factorization.

131292864672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1019 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 131292864672 in words is "one hundred thirty-one billion, two hundred ninety-two million, eight hundred sixty-four thousand, six hundred seventy-two".