133030400 has 120 divisors (see below), whose sum is σ = 347574480. Its totient is φ = 50319360.

The previous prime is 133030361. The next prime is 133030409. The reversal of 133030400 is 4030331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133030409) 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, 242927 + ... + 243473.

It is an arithmetic number, because the mean of its divisors is an integer number (2896454).

Almost surely, 2^133030400 is an apocalyptic number.

133030400 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 133030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173787240).

133030400 is an abundant number, since it is smaller than the sum of its proper divisors (214544080).

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

133030400 is an equidigital number, since it uses as much as digits as its factorization.

133030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 133030400 is about 11533.8805265184. The cubic root of 133030400 is about 510.4857604276.

Adding to 133030400 its reverse (4030331), we get a palindrome (137060731).

The spelling of 133030400 in words is "one hundred thirty-three million, thirty thousand, four hundred".