131412064000 has 432 divisors, whose sum is σ = 391456578240. Its totient is φ = 43057766400.

The previous prime is 131412063997. The next prime is 131412064019. The reversal of 131412064000 is 460214131.

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 47 ways as a sum of consecutive naturals, for example, 118495446 + ... + 118496554.

Almost surely, 2^131412064000 is an apocalyptic number.

131412064000 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 131412064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195728289120).

131412064000 is an abundant number, since it is smaller than the sum of its proper divisors (260044514240).

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

131412064000 is an equidigital number, since it uses as much as digits as its factorization.

131412064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131412064000 its reverse (460214131), we get a palindrome (131872278131).

The spelling of 131412064000 in words is "one hundred thirty-one billion, four hundred twelve million, sixty-four thousand".