133360440 has 128 divisors (see below), whose sum is σ = 421286400. Its totient is φ = 33707520.

The previous prime is 133360429. The next prime is 133360471. The reversal of 133360440 is 44063331.

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

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 133360440.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 582246 + ... + 582474.

It is an arithmetic number, because the mean of its divisors is an integer number (3291300).

Almost surely, 2^133360440 is an apocalyptic number.

133360440 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 133360440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210643200).

133360440 is an abundant number, since it is smaller than the sum of its proper divisors (287925960).

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

133360440 is a wasteful number, since it uses less digits than its factorization.

133360440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 133360440 is about 11548.1790772398. The cubic root of 133360440 is about 510.9075727405.

The spelling of 133360440 in words is "one hundred thirty-three million, three hundred sixty thousand, four hundred forty".