133504800 has 288 divisors, whose sum is σ = 511842240. Its totient is φ = 29798400.

The previous prime is 133504799. The next prime is 133504807. The reversal of 133504800 is 8405331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133504807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343006 + ... + 343394.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^133504800 is an apocalyptic number.

133504800 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 133504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

133504800 is an abundant number, since it is smaller than the sum of its proper divisors (378337440).

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

133504800 is a wasteful number, since it uses less digits than its factorization.

133504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 133504800 is about 11554.4277227390. The cubic root of 133504800 is about 511.0918553272.

The spelling of 133504800 in words is "one hundred thirty-three million, five hundred four thousand, eight hundred".