206151000 has 128 divisors (see below), whose sum is σ = 701775360. Its totient is φ = 49968000.

The previous prime is 206150983. The next prime is 206151017. The reversal of 206151000 is 151602.

It is an interprime number because it is at equal distance from previous prime (206150983) and next prime (206151017).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29877 + ... + 36123.

It is an arithmetic number, because the mean of its divisors is an integer number (5482620).

Almost surely, 2^206151000 is an apocalyptic number.

206151000 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 206151000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350887680).

206151000 is an abundant number, since it is smaller than the sum of its proper divisors (495624360).

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

206151000 is a wasteful number, since it uses less digits than its factorization.

206151000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 206151000 is about 14357.9594650493. The cubic root of 206151000 is about 590.7383268444.

The spelling of 206151000 in words is "two hundred six million, one hundred fifty-one thousand".