132084414000 has 960 divisors, whose sum is σ = 579777748992. Its totient is φ = 27226368000.

The previous prime is 132084413983. The next prime is 132084414013. The reversal of 132084414000 is 414480231.

132084414000 is a `hidden beast` number, since 13 + 208 + 4 + 41 + 400 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 217601697 + ... + 217602303.

Almost surely, 2^132084414000 is an apocalyptic number.

132084414000 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 132084414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289888874496).

132084414000 is an abundant number, since it is smaller than the sum of its proper divisors (447693334992).

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

132084414000 is a wasteful number, since it uses less digits than its factorization.

132084414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 132084414000 its reverse (414480231), we get a palindrome (132498894231).

The spelling of 132084414000 in words is "one hundred thirty-two billion, eighty-four million, four hundred fourteen thousand".