181152363120 has 320 divisors, whose sum is σ = 613976702976. Its totient is φ = 44002344960.

The previous prime is 181152363113. The next prime is 181152363163. The reversal of 181152363120 is 21363251181.

It is a super-2 number, since 2×181152363120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21240297 + ... + 21248823.

Almost surely, 2^181152363120 is an apocalyptic number.

181152363120 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 181152363120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306988351488).

181152363120 is an abundant number, since it is smaller than the sum of its proper divisors (432824339856).

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

181152363120 is a wasteful number, since it uses less digits than its factorization.

181152363120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728 (or 8722 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 181152363120 in words is "one hundred eighty-one billion, one hundred fifty-two million, three hundred sixty-three thousand, one hundred twenty".