132213200 has 120 divisors (see below), whose sum is σ = 378987648. Its totient is φ = 43338240.

The previous prime is 132213181. The next prime is 132213239. The reversal of 132213200 is 2312231.

It is a happy number.

It is a super-3 number, since 3×132213200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63374 + ... + 65426.

Almost surely, 2^132213200 is an apocalyptic number.

132213200 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 132213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189493824).

132213200 is an abundant number, since it is smaller than the sum of its proper divisors (246774448).

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

132213200 is a wasteful number, since it uses less digits than its factorization.

132213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2090 counting only the distinct ones).

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

The square root of 132213200 is about 11498.3998886802. The cubic root of 132213200 is about 509.4383153634.

Adding to 132213200 its reverse (2312231), we get a palindrome (134525431).

The spelling of 132213200 in words is "one hundred thirty-two million, two hundred thirteen thousand, two hundred".