181342120 has 64 divisors (see below), whose sum is σ = 427680000. Its totient is φ = 69070848.

The previous prime is 181342103. The next prime is 181342151. The reversal of 181342120 is 21243181.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 181342091 and 181342100.

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, 403656 + ... + 404104.

It is an arithmetic number, because the mean of its divisors is an integer number (6682500).

Almost surely, 2^181342120 is an apocalyptic number.

181342120 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 181342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213840000).

181342120 is an abundant number, since it is smaller than the sum of its proper divisors (246337880).

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

181342120 is a wasteful number, since it uses less digits than its factorization.

181342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 181342120 is about 13466.3328341461. The cubic root of 181342120 is about 566.0214586461.

The spelling of 181342120 in words is "one hundred eighty-one million, three hundred forty-two thousand, one hundred twenty".