187141968 has 160 divisors (see below), whose sum is σ = 591628800. Its totient is φ = 56277504.

The previous prime is 187141949. The next prime is 187141973. The reversal of 187141968 is 869141781.

It is a happy number.

187141968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263598 + ... + 264306.

It is an arithmetic number, because the mean of its divisors is an integer number (3697680).

Almost surely, 2^187141968 is an apocalyptic number.

187141968 is a gapful number since it is divisible by the number (18) 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 187141968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295814400).

187141968 is an abundant number, since it is smaller than the sum of its proper divisors (404486832).

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

187141968 is a wasteful number, since it uses less digits than its factorization.

187141968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 187141968 is about 13679.9842105172. The cubic root of 187141968 is about 571.9925830782.

The spelling of 187141968 in words is "one hundred eighty-seven million, one hundred forty-one thousand, nine hundred sixty-eight".