132033014000 has 160 divisors (see below), whose sum is σ = 341081145600. Its totient is φ = 49285843200.

The previous prime is 132033013999. The next prime is 132033014041. The reversal of 132033014000 is 410330231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132033014000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2520071 + ... + 2571929.

It is an arithmetic number, because the mean of its divisors is an integer number (2131757160).

Almost surely, 2^132033014000 is an apocalyptic number.

132033014000 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 132033014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170540572800).

132033014000 is an abundant number, since it is smaller than the sum of its proper divisors (209048131600).

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

132033014000 is a wasteful number, since it uses less digits than its factorization.

132033014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51968 (or 51952 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 132033014000 its reverse (410330231), we get a palindrome (132443344231).

It can be divided in two parts, 13203 and 3014000, that added together give a palindrome (3027203).

The spelling of 132033014000 in words is "one hundred thirty-two billion, thirty-three million, fourteen thousand".