133544400 has 240 divisors, whose sum is σ = 476779008. Its totient is φ = 31680000.

The previous prime is 133544393. The next prime is 133544423. The reversal of 133544400 is 4445331.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 884325 + ... + 884475.

Almost surely, 2^133544400 is an apocalyptic number.

133544400 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 133544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238389504).

133544400 is an abundant number, since it is smaller than the sum of its proper divisors (343234608).

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

133544400 is a wasteful number, since it uses less digits than its factorization.

133544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 133544400 is about 11556.1412244745. The cubic root of 133544400 is about 511.1423834398.

Adding to 133544400 its reverse (4445331), we get a palindrome (137989731).

The spelling of 133544400 in words is "one hundred thirty-three million, five hundred forty-four thousand, four hundred".