132219360 has 288 divisors, whose sum is σ = 555871680. Its totient is φ = 27869184.

The previous prime is 132219343. The next prime is 132219361. The reversal of 132219360 is 63912231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132219361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130536 + ... + 131544.

It is an arithmetic number, because the mean of its divisors is an integer number (1930110).

Almost surely, 2^132219360 is an apocalyptic number.

132219360 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 132219360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277935840).

132219360 is an abundant number, since it is smaller than the sum of its proper divisors (423652320).

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

132219360 is a wasteful number, since it uses less digits than its factorization.

132219360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 132219360 is about 11498.6677489177. The cubic root of 132219360 is about 509.4462270578.

The spelling of 132219360 in words is "one hundred thirty-two million, two hundred nineteen thousand, three hundred sixty".