205344153143000 has 128 divisors (see below), whose sum is σ = 498051073728000. Its totient is φ = 79149516275200.

The previous prime is 205344153142847. The next prime is 205344153143147. The reversal of 205344153143000 is 341351443502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7805369 + ... + 21716631.

It is an arithmetic number, because the mean of its divisors is an integer number (3891024013500).

Almost surely, 2^{205344153143000} is an apocalyptic number.

205344153143000 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 205344153143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249025536864000).

205344153143000 is an abundant number, since it is smaller than the sum of its proper divisors (292706920585000).

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

205344153143000 is a wasteful number, since it uses less digits than its factorization.

205344153143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13911822 (or 13911808 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 205344153143000 in words is "two hundred five trillion, three hundred forty-four billion, one hundred fifty-three million, one hundred forty-three thousand".