132005510400000 has 576 divisors, whose sum is σ = 440227832990400. Its totient is φ = 35173867520000.

The previous prime is 132005510399981. The next prime is 132005510400007. The reversal of 132005510400000 is 4015500231.

It is a self number, because there is not a number n which added to its sum of digits gives 132005510400000.

It is not an unprimeable number, because it can be changed into a prime (132005510400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39724798339 + ... + 39724801661.

It is an arithmetic number, because the mean of its divisors is an integer number (764284432275).

Almost surely, 2^{132005510400000} is an apocalyptic number.

132005510400000 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 132005510400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220113916495200).

132005510400000 is an abundant number, since it is smaller than the sum of its proper divisors (308222322590400).

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

132005510400000 is an frugal number, since it uses more digits than its factorization.

132005510400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 132005510400000 its reverse (4015500231), we get a palindrome (132009525900231).

The spelling of 132005510400000 in words is "one hundred thirty-two trillion, five billion, five hundred ten million, four hundred thousand".