205018128 has 220 divisors, whose sum is σ = 702915328. Its totient is φ = 56687040.

The previous prime is 205018127. The next prime is 205018129. The reversal of 205018128 is 821810502.

It is an interprime number because it is at equal distance from previous prime (205018127) and next prime (205018129).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205018127) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 6613473 + ... + 6613503.

Almost surely, 2^205018128 is an apocalyptic number.

205018128 is a gapful number since it is divisible by the number (28) 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 205018128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351457664).

205018128 is an abundant number, since it is smaller than the sum of its proper divisors (497897200).

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

205018128 is an frugal number, since it uses more digits than its factorization.

205018128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 205018128 is about 14318.4541065019. The cubic root of 205018128 is about 589.6542338699.

The spelling of 205018128 in words is "two hundred five million, eighteen thousand, one hundred twenty-eight".