180148864 has 64 divisors (see below), whose sum is σ = 434324160. Its totient is φ = 72658944.

The previous prime is 180148831. The next prime is 180148873. The reversal of 180148864 is 468841081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×180148864² = 64907226400980992, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 9319 + ... + 21145.

It is an arithmetic number, because the mean of its divisors is an integer number (6786315).

Almost surely, 2^180148864 is an apocalyptic number.

180148864 is a gapful number since it is divisible by the number (14) 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 180148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217162080).

180148864 is an abundant number, since it is smaller than the sum of its proper divisors (254175296).

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

180148864 is a wasteful number, since it uses less digits than its factorization.

180148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11865 (or 11853 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 180148864 is about 13421.9545521507. The cubic root of 180148864 is about 564.7772259808. Note that the first 3 decimals are identical.

The spelling of 180148864 in words is "one hundred eighty million, one hundred forty-eight thousand, eight hundred sixty-four".