131966208000 has 1152 divisors, whose sum is σ = 535750225920. Its totient is φ = 30965760000.

The previous prime is 131966207993. The next prime is 131966208061. The reversal of 131966208000 is 802669131.

131966208000 is a `hidden beast` number, since 13 + 19 + 6 + 620 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 1039103937 + ... + 1039104063.

It is an arithmetic number, because the mean of its divisors is an integer number (465060960).

Almost surely, 2^131966208000 is an apocalyptic number.

131966208000 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 131966208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267875112960).

131966208000 is an abundant number, since it is smaller than the sum of its proper divisors (403784017920).

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

131966208000 is a wasteful number, since it uses less digits than its factorization.

131966208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 131966208000 in words is "one hundred thirty-one billion, nine hundred sixty-six million, two hundred eight thousand".