132114141030300 has 1152 divisors, whose sum is σ = 477084424642560. Its totient is φ = 27750134476800.

The previous prime is 132114141030271. The next prime is 132114141030343. The reversal of 132114141030300 is 3030141411231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47234228502 + ... + 47234231298.

It is an arithmetic number, because the mean of its divisors is an integer number (414135785280).

Almost surely, 2^{132114141030300} is an apocalyptic number.

132114141030300 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 132114141030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238542212321280).

132114141030300 is an abundant number, since it is smaller than the sum of its proper divisors (344970283612260).

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

132114141030300 is a wasteful number, since it uses less digits than its factorization.

132114141030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132114141030300 its reverse (3030141411231), we get a palindrome (135144282441531).

The spelling of 132114141030300 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred forty-one million, thirty thousand, three hundred".