133344240 has 80 divisors (see below), whose sum is σ = 417535776. Its totient is φ = 35200000.

The previous prime is 133344227. The next prime is 133344241. The reversal of 133344240 is 42443331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×133344240³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133344240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133344241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21490 + ... + 26990.

Almost surely, 2^133344240 is an apocalyptic number.

133344240 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 133344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208767888).

133344240 is an abundant number, since it is smaller than the sum of its proper divisors (284191536).

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

133344240 is a wasteful number, since it uses less digits than its factorization.

133344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 133344240 is about 11547.4776466551. The cubic root of 133344240 is about 510.8868843518.

Adding to 133344240 its reverse (42443331), we get a palindrome (175787571).

Subtracting from 133344240 its reverse (42443331), we obtain a palindrome (90900909).

The spelling of 133344240 in words is "one hundred thirty-three million, three hundred forty-four thousand, two hundred forty".