187285545225 has 135 divisors (see below), whose sum is σ = 355075485303. Its totient is φ = 97590238560.

The previous prime is 187285545217. The next prime is 187285545269. The reversal of 187285545225 is 522545582781.

The square root of 187285545225 is 432765.

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

187285545225 is a `hidden beast` number, since 1 + 8 + 72 + 8 + 5 + 545 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67422796281 + 119862748944 = 259659^2 + 346212^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 187285545225 - 2³ = 187285545217 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1148990994 + ... + 1148991156.

Almost surely, 2^187285545225 is an apocalyptic number.

187285545225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

187285545225 is the 432765-th square number.

187285545225 is the 216383-rd centered octagonal number.

It is an amenable number.

187285545225 is a deficient number, since it is larger than the sum of its proper divisors (167789940078).

187285545225 is an frugal number, since it uses more digits than its factorization.

187285545225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 230 counting only the distinct ones).

The product of its digits is 8960000, while the sum is 54.

The spelling of 187285545225 in words is "one hundred eighty-seven billion, two hundred eighty-five million, five hundred forty-five thousand, two hundred twenty-five".