132491577201984 has 4032 divisors, whose sum is σ = 583547478958080. Its totient is φ = 28093252239360.

The previous prime is 132491577201953. The next prime is 132491577202013. The reversal of 132491577201984 is 489102775194231.

132491577201984 is a `hidden beast` number, since 1 + 3 + 2 + 49 + 1 + 577 + 2 + 0 + 19 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 93107221497 + ... + 93107222919.

It is an arithmetic number, because the mean of its divisors is an integer number (144729037440).

Almost surely, 2^{132491577201984} is an apocalyptic number.

132491577201984 is a gapful number since it is divisible by the number (14) 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 132491577201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291773739479040).

132491577201984 is an abundant number, since it is smaller than the sum of its proper divisors (451055901756096).

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

132491577201984 is a wasteful number, since it uses less digits than its factorization.

132491577201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 132491577201984 in words is "one hundred thirty-two trillion, four hundred ninety-one billion, five hundred seventy-seven million, two hundred one thousand, nine hundred eighty-four".