200152320 has 144 divisors (see below), whose sum is σ = 653425920. Its totient is φ = 52191232.

The previous prime is 200152319. The next prime is 200152321. The reversal of 200152320 is 23251002.

It is an interprime number because it is at equal distance from previous prime (200152319) and next prime (200152321).

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 200152320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200152321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179926 + ... + 181034.

It is an arithmetic number, because the mean of its divisors is an integer number (4537680).

Almost surely, 2^200152320 is an apocalyptic number.

200152320 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 200152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326712960).

200152320 is an abundant number, since it is smaller than the sum of its proper divisors (453273600).

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

200152320 is a wasteful number, since it uses less digits than its factorization.

200152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 200152320 is about 14147.5199240008. The cubic root of 200152320 is about 584.9519720962.

The spelling of 200152320 in words is "two hundred million, one hundred fifty-two thousand, three hundred twenty".