131946891960 has 576 divisors, whose sum is σ = 465987686400. Its totient is φ = 29855834112.

The previous prime is 131946891917. The next prime is 131946891991. The reversal of 131946891960 is 69198649131.

It is a self number, because there is not a number n which added to its sum of digits gives 131946891960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 275463001 + ... + 275463479.

It is an arithmetic number, because the mean of its divisors is an integer number (809006400).

Almost surely, 2^131946891960 is an apocalyptic number.

131946891960 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 131946891960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232993843200).

131946891960 is an abundant number, since it is smaller than the sum of its proper divisors (334040794440).

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

131946891960 is a wasteful number, since it uses less digits than its factorization.

131946891960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 57.

The spelling of 131946891960 in words is "one hundred thirty-one billion, nine hundred forty-six million, eight hundred ninety-one thousand, nine hundred sixty".