132496041600 has 1344 divisors, whose sum is σ = 561748967640. Its totient is φ = 30576476160.

The previous prime is 132496041593. The next prime is 132496041679. The reversal of 132496041600 is 6140694231.

132496041600 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 9 + 6 + 0 + 41 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 34266452544 + 98229589056 = 185112^2 + 313416^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 515548672 + ... + 515548928.

Almost surely, 2^132496041600 is an apocalyptic number.

132496041600 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 132496041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280874483820).

132496041600 is an abundant number, since it is smaller than the sum of its proper divisors (429252926040).

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

132496041600 is a wasteful number, since it uses less digits than its factorization.

132496041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 132496041600 in words is "one hundred thirty-two billion, four hundred ninety-six million, forty-one thousand, six hundred".