132504433332100 has 216 divisors, whose sum is σ = 315390078743040. Its totient is φ = 48260511744000.

The previous prime is 132504433332059. The next prime is 132504433332109. The reversal of 132504433332100 is 1233334405231.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (132504433332109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3288828756 + ... + 3288869044.

It is an arithmetic number, because the mean of its divisors is an integer number (1460139253440).

Almost surely, 2^{132504433332100} is an apocalyptic number.

132504433332100 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 132504433332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157695039371520).

132504433332100 is an abundant number, since it is smaller than the sum of its proper divisors (182885645410940).

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

132504433332100 is a wasteful number, since it uses less digits than its factorization.

132504433332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44039 (or 44015 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 132504433332100 its reverse (1233334405231), we get a palindrome (133737767737331).

The spelling of 132504433332100 in words is "one hundred thirty-two trillion, five hundred four billion, four hundred thirty-three million, three hundred thirty-two thousand, one hundred".