187952112 has 60 divisors (see below), whose sum is σ = 531253944. Its totient is φ = 62025600.

The previous prime is 187952099. The next prime is 187952137. The reversal of 187952112 is 211259781.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 8083 + ... + 21005.

Almost surely, 2^187952112 is an apocalyptic number.

187952112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187952112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265626972).

187952112 is an abundant number, since it is smaller than the sum of its proper divisors (343301832).

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

187952112 is a wasteful number, since it uses less digits than its factorization.

187952112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13038 (or 13029 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 187952112 is about 13709.5627939041. The cubic root of 187952112 is about 572.8167867234.

The spelling of 187952112 in words is "one hundred eighty-seven million, nine hundred fifty-two thousand, one hundred twelve".