206134160400 has 1215 divisors, whose sum is σ = 888788212221. Its totient is φ = 44108951040.

The previous prime is 206134160363. The next prime is 206134160429. The reversal of 206134160400 is 4061431602.

The square root of 206134160400 is 454020.

It is a perfect power (a square), and thus also a powerful number.

206134160400 is a `hidden beast` number, since 2 + 0 + 6 + 13 + 41 + 604 + 0 + 0 = 666.

206134160400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 74208297744 + 131925862656 = 272412^2 + 363216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4385833177 + ... + 4385833223.

Almost surely, 2^206134160400 is an apocalyptic number.

206134160400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206134160400 is the 454020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206134160400

206134160400 is an abundant number, since it is smaller than the sum of its proper divisors (682654051821).

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

206134160400 is a wasteful number, since it uses less digits than its factorization.

206134160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 206134160400 in words is "two hundred six billion, one hundred thirty-four million, one hundred sixty thousand, four hundred".