30135200 has 72 divisors (see below), whose sum is σ = 74370240. Its totient is φ = 11923200.

The previous prime is 30135199. The next prime is 30135211. The reversal of 30135200 is 253103.

It is an unprimeable number.

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, 111065 + ... + 111335.

It is an arithmetic number, because the mean of its divisors is an integer number (1032920).

Almost surely, 2^30135200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37185120).

30135200 is an abundant number, since it is smaller than the sum of its proper divisors (44235040).

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

30135200 is a wasteful number, since it uses less digits than its factorization.

30135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 30135200 is about 5489.5537159226. The cubic root of 30135200 is about 311.1893265174.

Adding to 30135200 its reverse (253103), we get a palindrome (30388303).

The spelling of 30135200 in words is "thirty million, one hundred thirty-five thousand, two hundred".