131294196000 has 1440 divisors, whose sum is σ = 563689382256. Its totient is φ = 29804544000.

The previous prime is 131294195939. The next prime is 131294196067. The reversal of 131294196000 is 691492131.

It is a happy number.

131294196000 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 9 + 41 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 47955744144 + 83338451856 = 218988^2 + 288684^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 666467902 + ... + 666468098.

Almost surely, 2^131294196000 is an apocalyptic number.

131294196000 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 131294196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281844691128).

131294196000 is an abundant number, since it is smaller than the sum of its proper divisors (432395186256).

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

131294196000 is a wasteful number, since it uses less digits than its factorization.

131294196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 131294196000 in words is "one hundred thirty-one billion, two hundred ninety-four million, one hundred ninety-six thousand".