132121332 has 144 divisors (see below), whose sum is σ = 400982400. Its totient is φ = 35884800.

The previous prime is 132121271. The next prime is 132121343. The reversal of 132121332 is 233121231.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738019 + ... + 738197.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 2^132121332 is an apocalyptic number.

132121332 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 132121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

132121332 is an abundant number, since it is smaller than the sum of its proper divisors (268861068).

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

132121332 is a wasteful number, since it uses less digits than its factorization.

132121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 132121332 is about 11494.4043777831. The cubic root of 132121332 is about 509.3202940584.

Adding to 132121332 its reverse (233121231), we get a palindrome (365242563).

The spelling of 132121332 in words is "one hundred thirty-two million, one hundred twenty-one thousand, three hundred thirty-two".