131849856000 has 792 divisors, whose sum is σ = 496522301496. Its totient is φ = 34936012800.

The previous prime is 131849855999. The next prime is 131849856007. The reversal of 131849856000 is 658948131.

131849856000 is a `hidden beast` number, since 1 + 3 + 1 + 84 + 9 + 8 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13006946304 + 118842909696 = 114048^2 + 344736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131849856007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 839807922 + ... + 839808078.

Almost surely, 2^131849856000 is an apocalyptic number.

131849856000 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 131849856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248261150748).

131849856000 is an abundant number, since it is smaller than the sum of its proper divisors (364672445496).

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

131849856000 is an frugal number, since it uses more digits than its factorization.

131849856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 131849856000 in words is "one hundred thirty-one billion, eight hundred forty-nine million, eight hundred fifty-six thousand".