206129952 has 144 divisors (see below), whose sum is σ = 681670080. Its totient is φ = 57862656.

The previous prime is 206129939. The next prime is 206129953. The reversal of 206129952 is 259921602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×206129952² = 84979114223044608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (206129953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118078 + ... + 119810.

It is an arithmetic number, because the mean of its divisors is an integer number (4733820).

Almost surely, 2^206129952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206129952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340835040).

206129952 is an abundant number, since it is smaller than the sum of its proper divisors (475540128).

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

206129952 is a wasteful number, since it uses less digits than its factorization.

206129952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 206129952 is about 14357.2264731041. The cubic root of 206129952 is about 590.7182213820.

The spelling of 206129952 in words is "two hundred six million, one hundred twenty-nine thousand, nine hundred fifty-two".