30135900 has 144 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 7142400.

The previous prime is 30135899. The next prime is 30135913. The reversal of 30135900 is 953103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96745 + ... + 97055.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 2^30135900 is an apocalyptic number.

30135900 is a gapful number since it is divisible by the number (30) 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 30135900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

30135900 is an abundant number, since it is smaller than the sum of its proper divisors (67357860).

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

30135900 is a wasteful number, since it uses less digits than its factorization.

30135900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 30135900 is about 5489.6174730121. The cubic root of 30135900 is about 311.1917360013.

The spelling of 30135900 in words is "thirty million, one hundred thirty-five thousand, nine hundred".