182742168 has 128 divisors (see below), whose sum is σ = 541440000. Its totient is φ = 51367680.

The previous prime is 182742167. The next prime is 182742169. The reversal of 182742168 is 861247281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (182742167) and next prime (182742169).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182742167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 650188 + ... + 650468.

It is an arithmetic number, because the mean of its divisors is an integer number (4230000).

Almost surely, 2^182742168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182742168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270720000).

182742168 is an abundant number, since it is smaller than the sum of its proper divisors (358697832).

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

182742168 is a wasteful number, since it uses less digits than its factorization.

182742168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 182742168 is about 13518.2161545080. The cubic root of 182742168 is about 567.4743781895.

The spelling of 182742168 in words is "one hundred eighty-two million, seven hundred forty-two thousand, one hundred sixty-eight".