131916297427200 has 6912 divisors, whose sum is σ = 630635836723200. Its totient is φ = 26486872473600.

The previous prime is 131916297427127. The next prime is 131916297427241. The reversal of 131916297427200 is 2724792619131.

131916297427200 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 1 + 6 + 2 + 9 + 7 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1210241260746 + ... + 1210241260854.

It is an arithmetic number, because the mean of its divisors is an integer number (91237823600).

Almost surely, 2^{131916297427200} is an apocalyptic number.

131916297427200 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 131916297427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315317918361600).

131916297427200 is an abundant number, since it is smaller than the sum of its proper divisors (498719539296000).

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

131916297427200 is a wasteful number, since it uses less digits than its factorization.

131916297427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 131916297427200 in words is "one hundred thirty-one trillion, nine hundred sixteen billion, two hundred ninety-seven million, four hundred twenty-seven thousand, two hundred".