131656800492000 has 3072 divisors, whose sum is σ = 589301699051520. Its totient is φ = 27868188672000.

The previous prime is 131656800491971. The next prime is 131656800492011. The reversal of 131656800492000 is 294008656131.

131656800492000 is a `hidden beast` number, since 1 + 31 + 6 + 56 + 80 + 0 + 492 + 0 + 0 + 0 = 666.

131656800492000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×131656800492000³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 358737875817 + ... + 358737876183.

It is an arithmetic number, because the mean of its divisors is an integer number (191829980160).

Almost surely, 2^{131656800492000} is an apocalyptic number.

131656800492000 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 131656800492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294650849525760).

131656800492000 is an abundant number, since it is smaller than the sum of its proper divisors (457644898559520).

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

131656800492000 is a wasteful number, since it uses less digits than its factorization.

131656800492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 131656800492000 in words is "one hundred thirty-one trillion, six hundred fifty-six billion, eight hundred million, four hundred ninety-two thousand".