132213120 has 128 divisors (see below), whose sum is σ = 453932640. Its totient is φ = 32538624.

The previous prime is 132213073. The next prime is 132213143. The reversal of 132213120 is 21312231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×132213120³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132213120.

It is a congruent number.

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, 22312 + ... + 27608.

Almost surely, 2^132213120 is an apocalyptic number.

132213120 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 132213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226966320).

132213120 is an abundant number, since it is smaller than the sum of its proper divisors (321719520).

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

132213120 is a wasteful number, since it uses less digits than its factorization.

132213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132213120 is about 11498.3964099347. The cubic root of 132213120 is about 509.4382126125.

Adding to 132213120 its reverse (21312231), we get a palindrome (153525351).

The spelling of 132213120 in words is "one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".