148564320 has 96 divisors (see below), whose sum is σ = 479455200. Its totient is φ = 38645760.

The previous prime is 148564289. The next prime is 148564331. The reversal of 148564320 is 23465841.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 15906 + ... + 23454.

It is an arithmetic number, because the mean of its divisors is an integer number (4994325).

Almost surely, 2^148564320 is an apocalyptic number.

148564320 is a gapful number since it is divisible by the number (10) 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 148564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239727600).

148564320 is an abundant number, since it is smaller than the sum of its proper divisors (330890880).

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

148564320 is a wasteful number, since it uses less digits than its factorization.

148564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 148564320 is about 12188.6964028152. The cubic root of 148564320 is about 529.6286944837.

The spelling of 148564320 in words is "one hundred forty-eight million, five hundred sixty-four thousand, three hundred twenty".