206142314150520 has 192 divisors, whose sum is σ = 750621399971040. Its totient is φ = 48623248512000.

The previous prime is 206142314150519. The next prime is 206142314150537. The reversal of 206142314150520 is 25051413241602.

206142314150520 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 4 + 2 + 3 + 141 + 505 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703314831 + ... + 703607870.

Almost surely, 2^{206142314150520} is an apocalyptic number.

206142314150520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206142314150520 is an abundant number, since it is smaller than the sum of its proper divisors (544479085820520).

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

206142314150520 is a wasteful number, since it uses less digits than its factorization.

206142314150520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406922766 (or 1406922759 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 206142314150520 in words is "two hundred six trillion, one hundred forty-two billion, three hundred fourteen million, one hundred fifty thousand, five hundred twenty".