132213220 has 48 divisors (see below), whose sum is σ = 283934448. Its totient is φ = 51701760.

The previous prime is 132213181. The next prime is 132213239. The reversal of 132213220 is 22312231.

It can be written as a sum of positive squares in 8 ways, for example, as 3526884 + 128686336 = 1878^2 + 11344^2 .

It is a super-3 number, since 3×132213220³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132213194 and 132213203.

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, 199690 + ... + 200350.

It is an arithmetic number, because the mean of its divisors is an integer number (5915301).

Almost surely, 2^132213220 is an apocalyptic number.

132213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213220 is an abundant number, since it is smaller than the sum of its proper divisors (151721228).

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

132213220 is a wasteful number, since it uses less digits than its factorization.

132213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 878 counting only the distinct ones).

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

The square root of 132213220 is about 11498.4007583664. The cubic root of 132213220 is about 509.4383410511.

Adding to 132213220 its reverse (22312231), we get a palindrome (154525451).

The spelling of 132213220 in words is "one hundred thirty-two million, two hundred thirteen thousand, two hundred twenty".