181302120 has 96 divisors (see below), whose sum is σ = 591481800. Its totient is φ = 48162816.

The previous prime is 181302083. The next prime is 181302137. The reversal of 181302120 is 21203181.

It can be written as a sum of positive squares in 4 ways, for example, as 139854276 + 41447844 = 11826^2 + 6438^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 181302093 and 181302102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111876 + ... + 113484.

Almost surely, 2^181302120 is an apocalyptic number.

181302120 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 181302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295740900).

181302120 is an abundant number, since it is smaller than the sum of its proper divisors (410179680).

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

181302120 is a wasteful number, since it uses less digits than its factorization.

181302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 181302120 is about 13464.8475669055. The cubic root of 181302120 is about 565.9798383775.

The spelling of 181302120 in words is "one hundred eighty-one million, three hundred two thousand, one hundred twenty".