148564800 has 336 divisors, whose sum is σ = 573227200. Its totient is φ = 37324800.

The previous prime is 148564799. The next prime is 148564807. The reversal of 148564800 is 8465841.

148564800 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 648 + 0 + 0 = 666.

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 (148564807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 820710 + ... + 820890.

Almost surely, 2^148564800 is an apocalyptic number.

148564800 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 148564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286613600).

148564800 is an abundant number, since it is smaller than the sum of its proper divisors (424662400).

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

148564800 is a wasteful number, since it uses less digits than its factorization.

148564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 148564800 is about 12188.7160931740. The cubic root of 148564800 is about 529.6292648797.

The spelling of 148564800 in words is "one hundred forty-eight million, five hundred sixty-four thousand, eight hundred".