181138020 has 96 divisors (see below), whose sum is σ = 610176000. Its totient is φ = 39222144.

The previous prime is 181138019. The next prime is 181138021. The reversal of 181138020 is 20831181.

It is an interprime number because it is at equal distance from previous prime (181138019) and next prime (181138021).

It is not an unprimeable number, because it can be changed into a prime (181138021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3370 + ... + 19329.

It is an arithmetic number, because the mean of its divisors is an integer number (6356000).

Almost surely, 2^181138020 is an apocalyptic number.

181138020 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 181138020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305088000).

181138020 is an abundant number, since it is smaller than the sum of its proper divisors (429037980).

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

181138020 is a wasteful number, since it uses less digits than its factorization.

181138020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22737 (or 22735 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 181138020 is about 13458.7525424907. The cubic root of 181138020 is about 565.8090271238.

The spelling of 181138020 in words is "one hundred eighty-one million, one hundred thirty-eight thousand, twenty".