133402304 has 112 divisors (see below), whose sum is σ = 316992000. Its totient is φ = 55657728.

The previous prime is 133402301. The next prime is 133402307. The reversal of 133402304 is 403204331.

It is an interprime number because it is at equal distance from previous prime (133402301) and next prime (133402307).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (133402301) 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, 1295117 + ... + 1295219.

Almost surely, 2^133402304 is an apocalyptic number.

133402304 is a gapful number since it is divisible by the number (14) 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 133402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158496000).

133402304 is an abundant number, since it is smaller than the sum of its proper divisors (183589696).

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

133402304 is an equidigital number, since it uses as much as digits as its factorization.

133402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 133402304 is about 11549.9915151484. The cubic root of 133402304 is about 510.9610278654.

Adding to 133402304 its reverse (403204331), we get a palindrome (536606635).

The spelling of 133402304 in words is "one hundred thirty-three million, four hundred two thousand, three hundred four".