186142720 has 104 divisors (see below), whose sum is σ = 457057800. Its totient is φ = 72744960.

The previous prime is 186142711. The next prime is 186142727. The reversal of 186142720 is 27241681.

186142720 is digitally balanced in base 3, 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 4 ways, for example, as 7225344 + 178917376 = 2688^2 + 13376^2 .

It is a super-2 number, since 2×186142720² = 69298224417996800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186142727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249206 + ... + 1249354.

Almost surely, 2^186142720 is an apocalyptic number.

186142720 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 186142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228528900).

186142720 is an abundant number, since it is smaller than the sum of its proper divisors (270915080).

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

186142720 is an equidigital number, since it uses as much as digits as its factorization.

186142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 186142720 is about 13643.4130627200. The cubic root of 186142720 is about 570.9727107167.

The spelling of 186142720 in words is "one hundred eighty-six million, one hundred forty-two thousand, seven hundred twenty".