132826416700 has 72 divisors (see below), whose sum is σ = 295385469120. Its totient is φ = 51813273600.

The previous prime is 132826416643. The next prime is 132826416707. The reversal of 132826416700 is 7614628231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132826416707) 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 23 ways as a sum of consecutive naturals, for example, 12987789 + ... + 12998011.

It is an arithmetic number, because the mean of its divisors is an integer number (4102575960).

Almost surely, 2^132826416700 is an apocalyptic number.

132826416700 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 132826416700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147692734560).

132826416700 is an abundant number, since it is smaller than the sum of its proper divisors (162559052420).

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

132826416700 is a wasteful number, since it uses less digits than its factorization.

132826416700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13447 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 132826416700 in words is "one hundred thirty-two billion, eight hundred twenty-six million, four hundred sixteen thousand, seven hundred".