148321800 has 288 divisors, whose sum is σ = 564026400. Its totient is φ = 35798400.

The previous prime is 148321783. The next prime is 148321807. The reversal of 148321800 is 8123841.

148321800 is a `hidden beast` number, since 1 + 483 + 2 + 180 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (148321807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 653287 + ... + 653513.

It is an arithmetic number, because the mean of its divisors is an integer number (1958425).

Almost surely, 2^148321800 is an apocalyptic number.

148321800 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 148321800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282013200).

148321800 is an abundant number, since it is smaller than the sum of its proper divisors (415704600).

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

148321800 is a wasteful number, since it uses less digits than its factorization.

148321800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 148321800 is about 12178.7437775823. The cubic root of 148321800 is about 529.3403446139.

The spelling of 148321800 in words is "one hundred forty-eight million, three hundred twenty-one thousand, eight hundred".