132334420441300 has 288 divisors, whose sum is σ = 369685762596864. Its totient is φ = 39904463808000.

The previous prime is 132334420441259. The next prime is 132334420441313. The reversal of 132334420441300 is 3144024433231.

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 95 ways as a sum of consecutive naturals, for example, 805052919 + ... + 805217281.

It is an arithmetic number, because the mean of its divisors is an integer number (1283631120128).

Almost surely, 2^{132334420441300} is an apocalyptic number.

132334420441300 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 132334420441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184842881298432).

132334420441300 is an abundant number, since it is smaller than the sum of its proper divisors (237351342155564).

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

132334420441300 is a wasteful number, since it uses less digits than its factorization.

132334420441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167799 (or 167792 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 132334420441300 its reverse (3144024433231), we get a palindrome (135478444874531).

The spelling of 132334420441300 in words is "one hundred thirty-two trillion, three hundred thirty-four billion, four hundred twenty million, four hundred forty-one thousand, three hundred".