148420800 has 252 divisors, whose sum is σ = 576093336. Its totient is φ = 35942400.

The previous prime is 148420793. The next prime is 148420847. The reversal of 148420800 is 8024841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157932 + ... + 158868.

Almost surely, 2^148420800 is an apocalyptic number.

148420800 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 148420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288046668).

148420800 is an abundant number, since it is smaller than the sum of its proper divisors (427672536).

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

148420800 is a wasteful number, since it uses less digits than its factorization.

148420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 958 counting only the distinct ones).

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

The square root of 148420800 is about 12182.8075581945. The cubic root of 148420800 is about 529.4580909352.

The spelling of 148420800 in words is "one hundred forty-eight million, four hundred twenty thousand, eight hundred".