133344160 has 48 divisors (see below), whose sum is σ = 316088136. Its totient is φ = 53157888.

The previous prime is 133344157. The next prime is 133344163. The reversal of 133344160 is 61443331.

It is a happy number.

133344160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133344157) and next prime (133344163).

It can be written as a sum of positive squares in 4 ways, for example, as 107578384 + 25765776 = 10372^2 + 5076^2 .

It is a super-2 number, since 2×133344160² = 35561330012211200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133344163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52684 + ... + 55156.

Almost surely, 2^133344160 is an apocalyptic number.

133344160 is a gapful number since it is divisible by the number (10) 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 133344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158044068).

133344160 is an abundant number, since it is smaller than the sum of its proper divisors (182743976).

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

133344160 is a wasteful number, since it uses less digits than its factorization.

133344160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 133344160 is about 11547.4741826947. The cubic root of 133344160 is about 510.8867821828.

Adding to 133344160 its reverse (61443331), we get a palindrome (194787491).

The spelling of 133344160 in words is "one hundred thirty-three million, three hundred forty-four thousand, one hundred sixty".