131462645036800 has 2592 divisors, whose sum is σ = 433236396096000. Its totient is φ = 39429424742400.

The previous prime is 131462645036729. The next prime is 131462645036927. The reversal of 131462645036800 is 8630546264131.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1477108371156 + ... + 1477108371244.

Almost surely, 2^{131462645036800} is an apocalyptic number.

131462645036800 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 131462645036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216618198048000).

131462645036800 is an abundant number, since it is smaller than the sum of its proper divisors (301773751059200).

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

131462645036800 is an equidigital number, since it uses as much as digits as its factorization.

131462645036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 131462645036800 in words is "one hundred thirty-one trillion, four hundred sixty-two billion, six hundred forty-five million, thirty-six thousand, eight hundred".