205152000 has 144 divisors (see below), whose sum is σ = 681731232. Its totient is φ = 54681600.

The previous prime is 205151983. The next prime is 205152007. The reversal of 205152000 is 251502.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205152007) 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, 94932 + ... + 97068.

Almost surely, 2^205152000 is an apocalyptic number.

205152000 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 205152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340865616).

205152000 is an abundant number, since it is smaller than the sum of its proper divisors (476579232).

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

205152000 is an equidigital number, since it uses as much as digits as its factorization.

205152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2147 counting only the distinct ones).

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

The square root of 205152000 is about 14323.1281499538. The cubic root of 205152000 is about 589.7825493788.

The spelling of 205152000 in words is "two hundred five million, one hundred fifty-two thousand".