131046206400 has 588 divisors, whose sum is σ = 486392633512. Its totient is φ = 34734458880.

The previous prime is 131046206399. The next prime is 131046206419. The reversal of 131046206400 is 4602640131.

131046206400 is a `hidden beast` number, since 1 + 3 + 10 + 4 + 6 + 2 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 330091002 + ... + 330091398.

Almost surely, 2^131046206400 is an apocalyptic number.

131046206400 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 131046206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243196316756).

131046206400 is an abundant number, since it is smaller than the sum of its proper divisors (355346427112).

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

131046206400 is an equidigital number, since it uses as much as digits as its factorization.

131046206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131046206400 its reverse (4602640131), we get a palindrome (135648846531).

The spelling of 131046206400 in words is "one hundred thirty-one billion, forty-six million, two hundred six thousand, four hundred".