187683900625 has 135 divisors (see below), whose sum is σ = 268659366327. Its totient is φ = 131007240000.

The previous prime is 187683900587. The next prime is 187683900641. The reversal of 187683900625 is 526009386781.

The square root of 187683900625 is 433225.

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

187683900625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 185381052481 + 2302848144 = 430559^2 + 47988^2 .

It is not a de Polignac number, because 187683900625 - 2¹⁹ = 187683376337 is a prime.

It is a Duffinian number.

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 134 ways as a sum of consecutive naturals, for example, 4364741854 + ... + 4364741896.

Almost surely, 2^187683900625 is an apocalyptic number.

187683900625 is the 433225-th square number.

187683900625 is the 216613-rd centered octagonal number.

It is an amenable number.

187683900625 is a deficient number, since it is larger than the sum of its proper divisors (80975465702).

187683900625 is an frugal number, since it uses more digits than its factorization.

187683900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 187683900625 in words is "one hundred eighty-seven billion, six hundred eighty-three million, nine hundred thousand, six hundred twenty-five".