131592450048000 has 2048 divisors, whose sum is σ = 472604547317760. Its totient is φ = 32462025523200.

The previous prime is 131592450047969. The next prime is 131592450048041. The reversal of 131592450048000 is 840054295131.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1036161023937 + ... + 1036161024063.

It is an arithmetic number, because the mean of its divisors is an integer number (230763939120).

Almost surely, 2^{131592450048000} is an apocalyptic number.

131592450048000 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 131592450048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236302273658880).

131592450048000 is an abundant number, since it is smaller than the sum of its proper divisors (341012097269760).

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

131592450048000 is an equidigital number, since it uses as much as digits as its factorization.

131592450048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 131592450048000 in words is "one hundred thirty-one trillion, five hundred ninety-two billion, four hundred fifty million, forty-eight thousand".