132210 has 48 divisors (see below), whose sum is σ = 373464. Its totient is φ = 32256.

The previous prime is 132199. The next prime is 132229. The reversal of 132210 is 12231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40401 + 91809 = 201^2 + 303^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 132192 and 132201.

It is an unprimeable number.

132210 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114 + ... + 1226.

2¹³²²¹⁰ is an apocalyptic number.

132210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732).

132210 is an abundant number, since it is smaller than the sum of its proper divisors (241254).

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

132210 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (132209) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (136).

132210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 136 counting only the distinct ones).

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

The square root of 132210 is about 363.6069306270. The cubic root of 132210 is about 50.9434205295.

Adding to 132210 its reverse (12231), we get a palindrome (144441).

The spelling of 132210 in words is "one hundred thirty-two thousand, two hundred ten".