133530400 has 72 divisors (see below), whose sum is σ = 330072624. Its totient is φ = 52742400.

The previous prime is 133530379. The next prime is 133530401. The reversal of 133530400 is 4035331.

It is not an unprimeable number, because it can be changed into a prime (133530401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65395 + ... + 67405.

It is an arithmetic number, because the mean of its divisors is an integer number (4584342).

Almost surely, 2^133530400 is an apocalyptic number.

133530400 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 133530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165036312).

133530400 is an abundant number, since it is smaller than the sum of its proper divisors (196542224).

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

133530400 is a wasteful number, since it uses less digits than its factorization.

133530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 133530400 is about 11555.5354700680. The cubic root of 133530400 is about 511.1245211072.

Adding to 133530400 its reverse (4035331), we get a palindrome (137565731).

The spelling of 133530400 in words is "one hundred thirty-three million, five hundred thirty thousand, four hundred".