133604352 has 264 divisors, whose sum is σ = 468353600. Its totient is φ = 35831808.

The previous prime is 133604329. The next prime is 133604357. The reversal of 133604352 is 253406331.

It is a happy number.

133604352 is a `hidden beast` number, since 1 + 3 + 3 + 604 + 3 + 52 = 666.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (133604357) 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, 1225674 + ... + 1225782.

Almost surely, 2^133604352 is an apocalyptic number.

133604352 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 133604352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234176800).

133604352 is an abundant number, since it is smaller than the sum of its proper divisors (334749248).

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

133604352 is a wasteful number, since it uses less digits than its factorization.

133604352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 133604352 is about 11558.7348788697. The cubic root of 133604352 is about 511.2188609350.

It can be divided in two parts, 133604 and 352, that added together give a square (133956 = 366²).

The spelling of 133604352 in words is "one hundred thirty-three million, six hundred four thousand, three hundred fifty-two".