132414408 has 192 divisors, whose sum is σ = 429436800. Its totient is φ = 36080640.

The previous prime is 132414397. The next prime is 132414421. The reversal of 132414408 is 804414231.

132414408 is a `hidden beast` number, since 13 + 241 + 4 + 408 = 666.

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, 1813860 + ... + 1813932.

It is an arithmetic number, because the mean of its divisors is an integer number (2236650).

Almost surely, 2^132414408 is an apocalyptic number.

132414408 is a gapful number since it is divisible by the number (18) 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 132414408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214718400).

132414408 is an abundant number, since it is smaller than the sum of its proper divisors (297022392).

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

132414408 is a wasteful number, since it uses less digits than its factorization.

132414408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 132414408 is about 11507.1459537107. The cubic root of 132414408 is about 509.6966130991.

Adding to 132414408 its reverse (804414231), we get a palindrome (936828639).

The spelling of 132414408 in words is "one hundred thirty-two million, four hundred fourteen thousand, four hundred eight".