132302323200 has 480 divisors, whose sum is σ = 464841542880. Its totient is φ = 33056358400.

The previous prime is 132302323199. The next prime is 132302323201. The reversal of 132302323200 is 2323203231.

It is an interprime number because it is at equal distance from previous prime (132302323199) and next prime (132302323201).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132302323201) 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, 253938940 + ... + 253939460.

It is an arithmetic number, because the mean of its divisors is an integer number (968419881).

Almost surely, 2^132302323200 is an apocalyptic number.

132302323200 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 132302323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232420771440).

132302323200 is an abundant number, since it is smaller than the sum of its proper divisors (332539219680).

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

132302323200 is a wasteful number, since it uses less digits than its factorization.

132302323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 132302323200 its reverse (2323203231), we get a palindrome (134625526431).

The spelling of 132302323200 in words is "one hundred thirty-two billion, three hundred two million, three hundred twenty-three thousand, two hundred".