132008096 has 72 divisors (see below), whose sum is σ = 289310112. Its totient is φ = 59241600.

The previous prime is 132008083. The next prime is 132008117. The reversal of 132008096 is 690800231.

It is a super-2 number, since 2×132008096² = 34852274819090432, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 398651 + ... + 398981.

It is an arithmetic number, because the mean of its divisors is an integer number (4018196).

Almost surely, 2^132008096 is an apocalyptic number.

132008096 is a gapful number since it is divisible by the number (16) 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 132008096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144655056).

132008096 is an abundant number, since it is smaller than the sum of its proper divisors (157302016).

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

132008096 is a wasteful number, since it uses less digits than its factorization.

132008096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 132008096 is about 11489.4776208494. The cubic root of 132008096 is about 509.1747463351.

The spelling of 132008096 in words is "one hundred thirty-two million, eight thousand, ninety-six".