132112032 has 144 divisors (see below), whose sum is σ = 398442240. Its totient is φ = 38178816.

The previous prime is 132112021. The next prime is 132112061. The reversal of 132112032 is 230211231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275569 + ... + 276047.

It is an arithmetic number, because the mean of its divisors is an integer number (2766960).

Almost surely, 2^132112032 is an apocalyptic number.

132112032 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 132112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199221120).

132112032 is an abundant number, since it is smaller than the sum of its proper divisors (266330208).

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

132112032 is a wasteful number, since it uses less digits than its factorization.

132112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132112032 is about 11493.9998259962. Note that the first 3 decimals coincide. The cubic root of 132112032 is about 509.3083434526.

Adding to 132112032 its reverse (230211231), we get a palindrome (362323263).

The spelling of 132112032 in words is "one hundred thirty-two million, one hundred twelve thousand, thirty-two".