181825136 has 80 divisors (see below), whose sum is σ = 384499200. Its totient is φ = 83026944.

The previous prime is 181825129. The next prime is 181825151. The reversal of 181825136 is 631528181.

It is a junction number, because it is equal to n+sod(n) for n = 181825096 and 181825105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609016 + ... + 1609128.

It is an arithmetic number, because the mean of its divisors is an integer number (4806240).

Almost surely, 2^181825136 is an apocalyptic number.

181825136 is a gapful number since it is divisible by the number (16) 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 181825136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192249600).

181825136 is an abundant number, since it is smaller than the sum of its proper divisors (202674064).

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

181825136 is a wasteful number, since it uses less digits than its factorization.

181825136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its digits is 11520, while the sum is 35.

The square root of 181825136 is about 13484.2551147626. The cubic root of 181825136 is about 566.5235575562.

The spelling of 181825136 in words is "one hundred eighty-one million, eight hundred twenty-five thousand, one hundred thirty-six".