182138880 has 432 divisors, whose sum is σ = 745060680. Its totient is φ = 37847040.

The previous prime is 182138839. The next prime is 182138951. The reversal of 182138880 is 88831281.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16558075 + ... + 16558085.

Almost surely, 2^182138880 is an apocalyptic number.

182138880 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 182138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372530340).

182138880 is an abundant number, since it is smaller than the sum of its proper divisors (562921800).

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

182138880 is a wasteful number, since it uses less digits than its factorization.

182138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 182138880 is about 13495.8838169273. The cubic root of 182138880 is about 566.8492206910.

The spelling of 182138880 in words is "one hundred eighty-two million, one hundred thirty-eight thousand, eight hundred eighty".