133312144 has 60 divisors (see below), whose sum is σ = 303733164. Its totient is φ = 56512512.

The previous prime is 133312133. The next prime is 133312187. The reversal of 133312144 is 441213331.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 107910544 = 5040^2 + 10388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75172 + ... + 76924.

Almost surely, 2^133312144 is an apocalyptic number.

133312144 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 133312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151866582).

133312144 is an abundant number, since it is smaller than the sum of its proper divisors (170421020).

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

133312144 is a wasteful number, since it uses less digits than its factorization.

133312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1859 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 133312144 is about 11546.0878222886. The cubic root of 133312144 is about 510.8458908520.

Adding to 133312144 its reverse (441213331), we get a palindrome (574525475).

The spelling of 133312144 in words is "one hundred thirty-three million, three hundred twelve thousand, one hundred forty-four".