133029200 has 30 divisors (see below), whose sum is σ = 319603614. Its totient is φ = 53211520.

The previous prime is 133029191. The next prime is 133029257. The reversal of 133029200 is 2920331.

It can be written as a sum of positive squares in 3 ways, for example, as 11235904 + 121793296 = 3352^2 + 11036^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 165887 + ... + 166686.

Almost surely, 2^133029200 is an apocalyptic number.

133029200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133029200 is an abundant number, since it is smaller than the sum of its proper divisors (186574414).

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

133029200 is a wasteful number, since it uses less digits than its factorization.

133029200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332591 (or 332580 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 133029200 is about 11533.8285057478. The cubic root of 133029200 is about 510.4842254784.

Adding to 133029200 its reverse (2920331), we get a palindrome (135949531).

The spelling of 133029200 in words is "one hundred thirty-three million, twenty-nine thousand, two hundred".