201505200 has 120 divisors (see below), whose sum is σ = 695195088. Its totient is φ = 49597440.

The previous prime is 201505151. The next prime is 201505207. The reversal of 201505200 is 2505102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201505200.

It is not an unprimeable number, because it can be changed into a prime (201505207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9142 + ... + 22058.

Almost surely, 2^201505200 is an apocalyptic number.

201505200 is a gapful number since it is divisible by the number (20) 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 201505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347597544).

201505200 is an abundant number, since it is smaller than the sum of its proper divisors (493689888).

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

201505200 is a wasteful number, since it uses less digits than its factorization.

201505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12951 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 201505200 is about 14195.2527275847. The cubic root of 201505200 is about 586.2669597129.

The spelling of 201505200 in words is "two hundred one million, five hundred five thousand, two hundred".