210132 has 36 divisors (see below), whose sum is σ = 573300. Its totient is φ = 64512.

The previous prime is 210131. The next prime is 210139. The reversal of 210132 is 231012.

It is a happy number.

210132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 133956 = 276^2 + 366^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244 + ... + 692.

It is an arithmetic number, because the mean of its divisors is an integer number (15925).

2²¹⁰¹³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286650).

210132 is an abundant number, since it is smaller than the sum of its proper divisors (363168).

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

210132 is a wasteful number, since it uses less digits than its factorization.

210132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 210132 is about 458.4015706779. The cubic root of 210132 is about 59.4516708509.

Adding to 210132 its reverse (231012), we get a palindrome (441144).

The spelling of 210132 in words is "two hundred ten thousand, one hundred thirty-two".