132225408 has 192 divisors, whose sum is σ = 458265600. Its totient is φ = 35748864.

The previous prime is 132225377. The next prime is 132225421. The reversal of 132225408 is 804522231.

132225408 is a `hidden beast` number, since 1 + 32 + 225 + 408 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

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, 152785 + ... + 153647.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 2^132225408 is an apocalyptic number.

132225408 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 132225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

132225408 is an abundant number, since it is smaller than the sum of its proper divisors (326040192).

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

132225408 is a wasteful number, since it uses less digits than its factorization.

132225408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132225408 is about 11498.9307328986. The cubic root of 132225408 is about 509.4539946641.

Adding to 132225408 its reverse (804522231), we get a palindrome (936747639).

The spelling of 132225408 in words is "one hundred thirty-two million, two hundred twenty-five thousand, four hundred eight".