188142720 has 256 divisors, whose sum is σ = 646272000. Its totient is φ = 46448640.

The previous prime is 188142709. The next prime is 188142763. The reversal of 188142720 is 27241881.

It is a happy number.

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, 1726026 + ... + 1726134.

It is an arithmetic number, because the mean of its divisors is an integer number (2524500).

Almost surely, 2^188142720 is an apocalyptic number.

188142720 is a gapful number since it is divisible by the number (10) 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 188142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323136000).

188142720 is an abundant number, since it is smaller than the sum of its proper divisors (458129280).

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

188142720 is a wasteful number, since it uses less digits than its factorization.

188142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 188142720 is about 13716.5126763329. The cubic root of 188142720 is about 573.0103583251.

The spelling of 188142720 in words is "one hundred eighty-eight million, one hundred forty-two thousand, seven hundred twenty".