180342540 has 288 divisors, whose sum is σ = 670924800. Its totient is φ = 39118464.

The previous prime is 180342529. The next prime is 180342557. The reversal of 180342540 is 45243081.

180342540 is a `hidden beast` number, since 1 + 80 + 3 + 42 + 540 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1419957 + ... + 1420083.

It is an arithmetic number, because the mean of its divisors is an integer number (2329600).

Almost surely, 2^180342540 is an apocalyptic number.

180342540 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 180342540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335462400).

180342540 is an abundant number, since it is smaller than the sum of its proper divisors (490582260).

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

180342540 is a wasteful number, since it uses less digits than its factorization.

180342540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 180342540 is about 13429.1675095666. The cubic root of 180342540 is about 564.9795486893.

The spelling of 180342540 in words is "one hundred eighty million, three hundred forty-two thousand, five hundred forty".