200754179136 has 525 divisors, whose sum is σ = 699749514519. Its totient is φ = 56906696448.

The previous prime is 200754179081. The next prime is 200754179149. The reversal of 200754179136 is 631971457002.

The square root of 200754179136 is 448056.

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

200754179136 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 541 + 79 + 1 + 36 = 666.

200754179136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200754179091 and 200754179100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1580741505 + ... + 1580741631.

Almost surely, 2^200754179136 is an apocalyptic number.

200754179136 is the 448056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200754179136

200754179136 is an abundant number, since it is smaller than the sum of its proper divisors (498995335383).

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

200754179136 is an frugal number, since it uses more digits than its factorization.

200754179136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 200754179136 in words is "two hundred billion, seven hundred fifty-four million, one hundred seventy-nine thousand, one hundred thirty-six".