189977125 has 72 divisors (see below), whose sum is σ = 284166792. Its totient is φ = 126297600.

The previous prime is 189977113. The next prime is 189977153. The reversal of 189977125 is 521779981.

It can be written as a sum of positive squares in 12 ways, for example, as 170067681 + 19909444 = 13041^2 + 4462^2 .

It is not a de Polignac number, because 189977125 - 2¹⁵ = 189944357 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8259864 + ... + 8259886.

It is an arithmetic number, because the mean of its divisors is an integer number (3946761).

Almost surely, 2^189977125 is an apocalyptic number.

It is an amenable number.

189977125 is a deficient number, since it is larger than the sum of its proper divisors (94189667).

189977125 is a wasteful number, since it uses less digits than its factorization.

189977125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its digits is 317520, while the sum is 49.

The square root of 189977125 is about 13783.2189636529. The cubic root of 189977125 is about 574.8666357368.

The spelling of 189977125 in words is "one hundred eighty-nine million, nine hundred seventy-seven thousand, one hundred twenty-five".