180685152 has 36 divisors (see below), whose sum is σ = 513824220. Its totient is φ = 60228288.

The previous prime is 180685139. The next prime is 180685159. The reversal of 180685152 is 251586081.

180685152 is a `hidden beast` number, since 1 + 80 + 68 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180685159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 313402 + ... + 313977.

It is an arithmetic number, because the mean of its divisors is an integer number (14272895).

Almost surely, 2^180685152 is an apocalyptic number.

180685152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180685152 is an abundant number, since it is smaller than the sum of its proper divisors (333139068).

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

180685152 is a wasteful number, since it uses less digits than its factorization.

180685152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627395 (or 627384 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 180685152 is about 13441.9177203255. The cubic root of 180685152 is about 565.3371021959.

It can be divided in two parts, 18068 and 5152, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 180685152 in words is "one hundred eighty million, six hundred eighty-five thousand, one hundred fifty-two".