133823232 has 144 divisors (see below), whose sum is σ = 416976000. Its totient is φ = 42218496.

The previous prime is 133823231. The next prime is 133823257. The reversal of 133823232 is 232328331.

133823232 is a `hidden beast` number, since 1 + 338 + 2 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133823196 and 133823205.

It is not an unprimeable number, because it can be changed into a prime (133823231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130819 + ... + 131837.

Almost surely, 2^133823232 is an apocalyptic number.

133823232 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 133823232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208488000).

133823232 is an abundant number, since it is smaller than the sum of its proper divisors (283152768).

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

133823232 is a wasteful number, since it uses less digits than its factorization.

133823232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1043 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 133823232 is about 11568.1991684099. The cubic root of 133823232 is about 511.4978801264.

The spelling of 133823232 in words is "one hundred thirty-three million, eight hundred twenty-three thousand, two hundred thirty-two".