201188131600 has 135 divisors (see below), whose sum is σ = 496338539871. Its totient is φ = 78368908800.

The previous prime is 201188131583. The next prime is 201188131601. The reversal of 201188131600 is 6131881102.

The square root of 201188131600 is 448540.

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

It can be written as a sum of positive squares in 4 ways, for example, as 84683328016 + 116504803584 = 291004^2 + 341328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201188131601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 367802527 + ... + 367803073.

Almost surely, 2^201188131600 is an apocalyptic number.

201188131600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201188131600 is the 448540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201188131600

201188131600 is an abundant number, since it is smaller than the sum of its proper divisors (295150408271).

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

201188131600 is an frugal number, since it uses more digits than its factorization.

201188131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

Multiplying 201188131600 by its product of nonzero digits (2304), we get a square (463537455206400 = 21529920²).

The spelling of 201188131600 in words is "two hundred one billion, one hundred eighty-eight million, one hundred thirty-one thousand, six hundred".