133413600 has 72 divisors (see below), whose sum is σ = 434269080. Its totient is φ = 35576320.

The previous prime is 133413551. The next prime is 133413607. The reversal of 133413600 is 6314331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133413607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25395 + ... + 30194.

It is an arithmetic number, because the mean of its divisors is an integer number (6031515).

Almost surely, 2^133413600 is an apocalyptic number.

133413600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133413600 is an abundant number, since it is smaller than the sum of its proper divisors (300855480).

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

133413600 is a wasteful number, since it uses less digits than its factorization.

133413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55612 (or 55599 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 133413600 is about 11550.4805094853. The cubic root of 133413600 is about 510.9754495375.

Adding to 133413600 its reverse (6314331), we get a palindrome (139727931).

The spelling of 133413600 in words is "one hundred thirty-three million, four hundred thirteen thousand, six hundred".