180342120 has 256 divisors, whose sum is σ = 667491840. Its totient is φ = 38043648.

The previous prime is 180342119. The next prime is 180342121. The reversal of 180342120 is 21243081.

180342120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180342119) and next prime (180342121).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (180342121) by changing a digit.

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, 1042354 + ... + 1042526.

It is an arithmetic number, because the mean of its divisors is an integer number (2607390).

Almost surely, 2^180342120 is an apocalyptic number.

180342120 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 180342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333745920).

180342120 is an abundant number, since it is smaller than the sum of its proper divisors (487149720).

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

180342120 is a wasteful number, since it uses less digits than its factorization.

180342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 180342120 is about 13429.1518719538. The cubic root of 180342120 is about 564.9791100951.

The spelling of 180342120 in words is "one hundred eighty million, three hundred forty-two thousand, one hundred twenty".