180152064 has 54 divisors (see below), whose sum is σ = 519429456. Its totient is φ = 60049920.

The previous prime is 180152059. The next prime is 180152083. The reversal of 180152064 is 460251081.

180152064 is a `hidden beast` number, since 1 + 80 + 1 + 520 + 64 = 666.

180152064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36792 + ... + 41399.

It is an arithmetic number, because the mean of its divisors is an integer number (9619064).

Almost surely, 2^180152064 is an apocalyptic number.

It is an amenable number.

180152064 is an abundant number, since it is smaller than the sum of its proper divisors (339277392).

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

180152064 is an equidigital number, since it uses as much as digits as its factorization.

180152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78213 (or 78196 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 180152064 is about 13422.0737592967. The cubic root of 180152064 is about 564.7805700234.

The spelling of 180152064 in words is "one hundred eighty million, one hundred fifty-two thousand, sixty-four".