148200864 has 48 divisors (see below), whose sum is σ = 444604608. Its totient is φ = 42342912.

The previous prime is 148200859. The next prime is 148200889. The reversal of 148200864 is 468002841.

148200864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 109597 + ... + 110940.

It is an arithmetic number, because the mean of its divisors is an integer number (9262596).

Almost surely, 2^148200864 is an apocalyptic number.

148200864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

148200864 is an abundant number, since it is smaller than the sum of its proper divisors (296403744).

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

148200864 is a wasteful number, since it uses less digits than its factorization.

148200864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220557 (or 220549 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 148200864 is about 12173.7777209870. Note that the first 4 decimals coincide. The cubic root of 148200864 is about 529.1964374458.

The spelling of 148200864 in words is "one hundred forty-eight million, two hundred thousand, eight hundred sixty-four".