133552800 has 252 divisors, whose sum is σ = 490964670. Its totient is φ = 35458560.

The previous prime is 133552759. The next prime is 133552807. The reversal of 133552800 is 8255331.

133552800 is a `hidden beast` number, since 1 + 33 + 552 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 123743376 + 9809424 = 11124^2 + 3132^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133552807) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 583086 + ... + 583314.

Almost surely, 2^133552800 is an apocalyptic number.

133552800 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 133552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245482335).

133552800 is an abundant number, since it is smaller than the sum of its proper divisors (357411870).

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

133552800 is an equidigital number, since it uses as much as digits as its factorization.

133552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 133552800 is about 11556.5046618777. The cubic root of 133552800 is about 511.1531002401.

The spelling of 133552800 in words is "one hundred thirty-three million, five hundred fifty-two thousand, eight hundred".