133433300 has 288 divisors, whose sum is σ = 410640384. Its totient is φ = 36288000.

The previous prime is 133433273. The next prime is 133433303. The reversal of 133433300 is 3334331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133433303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3103079 + ... + 3103121.

Almost surely, 2^133433300 is an apocalyptic number.

133433300 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 133433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205320192).

133433300 is an abundant number, since it is smaller than the sum of its proper divisors (277207084).

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

133433300 is a wasteful number, since it uses less digits than its factorization.

133433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 133433300 is about 11551.3332563821. Note that the first 3 decimals coincide. The cubic root of 133433300 is about 511.0005987000. Note that the first 3 decimals are identical.

Adding to 133433300 its reverse (3334331), we get a palindrome (136767631).

The spelling of 133433300 in words is "one hundred thirty-three million, four hundred thirty-three thousand, three hundred".