132212864 has 128 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 53452800.

The previous prime is 132212783. The next prime is 132212867. The reversal of 132212864 is 468212231.

It is a happy number.

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

It is a super-3 number, since 3×132212864³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132212867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2167394 + ... + 2167454.

It is an arithmetic number, because the mean of its divisors is an integer number (2490075).

Almost surely, 2^132212864 is an apocalyptic number.

132212864 is a gapful number since it is divisible by the number (14) 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 132212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

132212864 is an abundant number, since it is smaller than the sum of its proper divisors (186516736).

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

132212864 is an equidigital number, since it uses as much as digits as its factorization.

132212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 132212864 is about 11498.3852779423. The cubic root of 132212864 is about 509.4378838094.

The spelling of 132212864 in words is "one hundred thirty-two million, two hundred twelve thousand, eight hundred sixty-four".