205072137000 has 192 divisors, whose sum is σ = 717046246800. Its totient is φ = 52800115200.

The previous prime is 205072136989. The next prime is 205072137043. The reversal of 205072137000 is 731270502.

205072137000 is a `hidden beast` number, since 20 + 507 + 2 + 137 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13170316644 + 191901820356 = 114762^2 + 438066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131859 + ... + 653858.

Almost surely, 2^205072137000 is an apocalyptic number.

205072137000 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 205072137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358523123400).

205072137000 is an abundant number, since it is smaller than the sum of its proper divisors (511974109800).

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

205072137000 is a wasteful number, since it uses less digits than its factorization.

205072137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785773 (or 785756 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 205072137000 in words is "two hundred five billion, seventy-two million, one hundred thirty-seven thousand".