132083536032000 has 1728 divisors, whose sum is σ = 573894360748800. Its totient is φ = 29825987788800.

The previous prime is 132083536031971. The next prime is 132083536032001. The reversal of 132083536032000 is 230635380231.

132083536032000 is a `hidden beast` number, since 1 + 3 + 20 + 8 + 3 + 5 + 3 + 603 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132083536032001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3513869206 + ... + 3513906794.

It is an arithmetic number, because the mean of its divisors is an integer number (332114792100).

Almost surely, 2^{132083536032000} is an apocalyptic number.

132083536032000 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 132083536032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286947180374400).

132083536032000 is an abundant number, since it is smaller than the sum of its proper divisors (441810824716800).

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

132083536032000 is an equidigital number, since it uses as much as digits as its factorization.

132083536032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37726 (or 37689 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 132083536032000 in words is "one hundred thirty-two trillion, eighty-three billion, five hundred thirty-six million, thirty-two thousand".