133300440 has 288 divisors, whose sum is σ = 537844320. Its totient is φ = 28035072.

The previous prime is 133300439. The next prime is 133300457. The reversal of 133300440 is 44003331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425724 + ... + 426036.

It is an arithmetic number, because the mean of its divisors is an integer number (1867515).

Almost surely, 2^133300440 is an apocalyptic number.

133300440 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 133300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268922160).

133300440 is an abundant number, since it is smaller than the sum of its proper divisors (404543880).

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

133300440 is a wasteful number, since it uses less digits than its factorization.

133300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133300440 is about 11545.5809728225. The cubic root of 133300440 is about 510.8309406879.

Adding to 133300440 its reverse (44003331), we get a palindrome (177303771).

The spelling of 133300440 in words is "one hundred thirty-three million, three hundred thousand, four hundred forty".