148204800 has 324 divisors, whose sum is σ = 553547904. Its totient is φ = 37785600.

The previous prime is 148204799. The next prime is 148204813. The reversal of 148204800 is 8402841.

It is a congruent number.

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, 1785559 + ... + 1785641.

Almost surely, 2^148204800 is an apocalyptic number.

148204800 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 148204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276773952).

148204800 is an abundant number, since it is smaller than the sum of its proper divisors (405343104).

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

148204800 is a wasteful number, since it uses less digits than its factorization.

148204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

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

The square root of 148204800 is about 12173.9393788535. The cubic root of 148204800 is about 529.2011223009.

The spelling of 148204800 in words is "one hundred forty-eight million, two hundred four thousand, eight hundred".