132608112 has 120 divisors (see below), whose sum is σ = 429253776. Its totient is φ = 34965504.

The previous prime is 132608101. The next prime is 132608117. The reversal of 132608112 is 211806231.

It is a super-2 number, since 2×132608112² = 35169822736409088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132608117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28408 + ... + 32744.

Almost surely, 2^132608112 is an apocalyptic number.

132608112 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 132608112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214626888).

132608112 is an abundant number, since it is smaller than the sum of its proper divisors (296645664).

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

132608112 is a wasteful number, since it uses less digits than its factorization.

132608112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 132608112 is about 11515.5595608724. The cubic root of 132608112 is about 509.9450305999.

The spelling of 132608112 in words is "one hundred thirty-two million, six hundred eight thousand, one hundred twelve".