132321020 has 48 divisors (see below), whose sum is σ = 308921088. Its totient is φ = 47278080.

The previous prime is 132320987. The next prime is 132321029. The reversal of 132321020 is 20123231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132320986 and 132321004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132321029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149 + ... + 16268.

It is an arithmetic number, because the mean of its divisors is an integer number (6435856).

Almost surely, 2^132321020 is an apocalyptic number.

132321020 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 132321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154460544).

132321020 is an abundant number, since it is smaller than the sum of its proper divisors (176600068).

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

132321020 is a wasteful number, since it uses less digits than its factorization.

132321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16470 (or 16468 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132321020 is about 11503.0874116474. The cubic root of 132321020 is about 509.5767602256.

Adding to 132321020 its reverse (20123231), we get a palindrome (152444251).

The spelling of 132321020 in words is "one hundred thirty-two million, three hundred twenty-one thousand, twenty".