182268000 has 288 divisors, whose sum is σ = 665394912. Its totient is φ = 47232000.

The previous prime is 182267993. The next prime is 182268011. The reversal of 182268000 is 862281.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2195959 + ... + 2196041.

It is an arithmetic number, because the mean of its divisors is an integer number (2310399).

Almost surely, 2^182268000 is an apocalyptic number.

182268000 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 182268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332697456).

182268000 is an abundant number, since it is smaller than the sum of its proper divisors (483126912).

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

182268000 is a wasteful number, since it uses less digits than its factorization.

182268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 182268000 is about 13500.6666502066. Note that the first 4 decimals coincide. The cubic root of 182268000 is about 566.9831373353.

The spelling of 182268000 in words is "one hundred eighty-two million, two hundred sixty-eight thousand".