180613152 has 72 divisors (see below), whose sum is σ = 532664496. Its totient is φ = 60201792.

The previous prime is 180613123. The next prime is 180613163. The reversal of 180613152 is 251316081.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×180613152² = 65242221350750208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3838 + ... + 19389.

It is an arithmetic number, because the mean of its divisors is an integer number (7398118).

Almost surely, 2^180613152 is an apocalyptic number.

180613152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180613152 is an abundant number, since it is smaller than the sum of its proper divisors (352051344).

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

180613152 is an equidigital number, since it uses as much as digits as its factorization.

180613152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23252 (or 23232 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 180613152 is about 13439.2392641846. The cubic root of 180613152 is about 565.2619997709.

The spelling of 180613152 in words is "one hundred eighty million, six hundred thirteen thousand, one hundred fifty-two".