206152128 has 560 divisors, whose sum is σ = 826129920. Its totient is φ = 49268736.

The previous prime is 206152091. The next prime is 206152153. The reversal of 206152128 is 821251602.

It is a happy number.

206152128 is a `hidden beast` number, since 2 + 0 + 615 + 21 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8963125 + ... + 8963147.

It is an arithmetic number, because the mean of its divisors is an integer number (1475232).

Almost surely, 2^206152128 is an apocalyptic number.

206152128 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 206152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413064960).

206152128 is an abundant number, since it is smaller than the sum of its proper divisors (619977792).

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

206152128 is a wasteful number, since it uses less digits than its factorization.

206152128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 206152128 is about 14357.9987463434. The cubic root of 206152128 is about 590.7394042934.

The spelling of 206152128 in words is "two hundred six million, one hundred fifty-two thousand, one hundred twenty-eight".