132408192 has 192 divisors, whose sum is σ = 424189440. Its totient is φ = 36449280.

The previous prime is 132408191. The next prime is 132408239. The reversal of 132408192 is 291804231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132408191) 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, 583183 + ... + 583409.

It is an arithmetic number, because the mean of its divisors is an integer number (2209320).

Almost surely, 2^132408192 is an apocalyptic number.

132408192 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 132408192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212094720).

132408192 is an abundant number, since it is smaller than the sum of its proper divisors (291781248).

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

132408192 is a wasteful number, since it uses less digits than its factorization.

132408192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 132408192 is about 11506.8758575036. The cubic root of 132408192 is about 509.6886373212.

The spelling of 132408192 in words is "one hundred thirty-two million, four hundred eight thousand, one hundred ninety-two".