132285312 has 96 divisors (see below), whose sum is σ = 394856280. Its totient is φ = 44084736.

The previous prime is 132285287. The next prime is 132285319. The reversal of 132285312 is 213582231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132285319) 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 11 ways as a sum of consecutive naturals, for example, 28978 + ... + 33230.

Almost surely, 2^132285312 is an apocalyptic number.

132285312 is a gapful number since it is divisible by the number (12) 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 132285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197428140).

132285312 is an abundant number, since it is smaller than the sum of its proper divisors (262570968).

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

132285312 is an frugal number, since it uses more digits than its factorization.

132285312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4258 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 132285312 is about 11501.5352018763. The cubic root of 132285312 is about 509.5309181666.

The spelling of 132285312 in words is "one hundred thirty-two million, two hundred eighty-five thousand, three hundred twelve".