132571318464000 has 4800 divisors, whose sum is σ = 579851303391360. Its totient is φ = 29867802624000.

The previous prime is 132571318463989. The next prime is 132571318464001. The reversal of 132571318464000 is 464813175231.

132571318464000 is a `hidden beast` number, since 1 + 3 + 2 + 57 + 13 + 184 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132571318464001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1489565375956 + ... + 1489565376044.

Almost surely, 2^{132571318464000} is an apocalyptic number.

132571318464000 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 132571318464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289925651695680).

132571318464000 is an abundant number, since it is smaller than the sum of its proper divisors (447279984927360).

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

132571318464000 is an equidigital number, since it uses as much as digits as its factorization.

132571318464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 132571318464000 in words is "one hundred thirty-two trillion, five hundred seventy-one billion, three hundred eighteen million, four hundred sixty-four thousand".