132202010320 has 80 divisors (see below), whose sum is σ = 311187024720. Its totient is φ = 52227182592.

The previous prime is 132202010299. The next prime is 132202010371. The reversal of 132202010320 is 23010202231.

It can be written as a sum of positive squares in 8 ways, for example, as 17378621584 + 114823388736 = 131828^2 + 338856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132202010294 and 132202010303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2705142 + ... + 2753578.

It is an arithmetic number, because the mean of its divisors is an integer number (3889837809).

Almost surely, 2^132202010320 is an apocalyptic number.

132202010320 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 132202010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155593512360).

132202010320 is an abundant number, since it is smaller than the sum of its proper divisors (178985014400).

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

132202010320 is a wasteful number, since it uses less digits than its factorization.

132202010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48872 (or 48866 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132202010320 its reverse (23010202231), we get a palindrome (155212212551).

The spelling of 132202010320 in words is "one hundred thirty-two billion, two hundred two million, ten thousand, three hundred twenty".