182112840 has 512 divisors, whose sum is σ = 798336000. Its totient is φ = 35831808.

The previous prime is 182112839. The next prime is 182112841. The reversal of 182112840 is 48211281.

It is an interprime number because it is at equal distance from previous prime (182112839) and next prime (182112841).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (182112841) 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 127 ways as a sum of consecutive naturals, for example, 1670706 + ... + 1670814.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 2^182112840 is an apocalyptic number.

182112840 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 182112840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

182112840 is an abundant number, since it is smaller than the sum of its proper divisors (616223160).

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

182112840 is a wasteful number, since it uses less digits than its factorization.

182112840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 182112840 is about 13494.9190438476. The cubic root of 182112840 is about 566.8222056697.

The spelling of 182112840 in words is "one hundred eighty-two million, one hundred twelve thousand, eight hundred forty".