132214032 has 150 divisors (see below), whose sum is σ = 407651178. Its totient is φ = 41361408.

The previous prime is 132214031. The next prime is 132214037. The reversal of 132214032 is 230412231.

It can be written as a sum of positive squares in 3 ways, for example, as 47279376 + 84934656 = 6876^2 + 9216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132213996 and 132214014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 374368 + ... + 374720.

Almost surely, 2^132214032 is an apocalyptic number.

132214032 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 132214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203825589).

132214032 is an abundant number, since it is smaller than the sum of its proper divisors (275437146).

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

132214032 is a wasteful number, since it uses less digits than its factorization.

132214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132214032 is about 11498.4360675702. The cubic root of 132214032 is about 509.4393839703.

Adding to 132214032 its reverse (230412231), we get a palindrome (362626263).

The spelling of 132214032 in words is "one hundred thirty-two million, two hundred fourteen thousand, thirty-two".