148024800 has 576 divisors, whose sum is σ = 674956800. Its totient is φ = 30412800.

The previous prime is 148024771. The next prime is 148024817. The reversal of 148024800 is 8420841.

148024800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×148024800² = 43822682830080000, which contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 1663156 + ... + 1663244.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^148024800 is an apocalyptic number.

148024800 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 148024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

148024800 is an abundant number, since it is smaller than the sum of its proper divisors (526932000).

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

148024800 is a wasteful number, since it uses less digits than its factorization.

148024800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 148024800 is about 12166.5442916220. The cubic root of 148024800 is about 528.9867909791.

The spelling of 148024800 in words is "one hundred forty-eight million, twenty-four thousand, eight hundred".