200905152 has 112 divisors (see below), whose sum is σ = 615159552. Its totient is φ = 56678400.

The previous prime is 200905121. The next prime is 200905163. The reversal of 200905152 is 251509002.

200905152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110652 + ... + 112452.

It is an arithmetic number, because the mean of its divisors is an integer number (5492496).

Almost surely, 2^200905152 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 200905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307579776).

200905152 is an abundant number, since it is smaller than the sum of its proper divisors (414254400).

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

200905152 is a wasteful number, since it uses less digits than its factorization.

200905152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 200905152 is about 14174.1014530022. The cubic root of 200905152 is about 585.6844468978.

The spelling of 200905152 in words is "two hundred million, nine hundred five thousand, one hundred fifty-two".