148012800 has 216 divisors, whose sum is σ = 526935024. Its totient is φ = 36372480.

The previous prime is 148012789. The next prime is 148012819. The reversal of 148012800 is 8210841.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249304 + ... + 249896.

It is an arithmetic number, because the mean of its divisors is an integer number (2439514).

Almost surely, 2^148012800 is an apocalyptic number.

148012800 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 148012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263467512).

148012800 is an abundant number, since it is smaller than the sum of its proper divisors (378922224).

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

148012800 is a wasteful number, since it uses less digits than its factorization.

148012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 148012800 is about 12166.0511259817. The cubic root of 148012800 is about 528.9724960478.

The spelling of 148012800 in words is "one hundred forty-eight million, twelve thousand, eight hundred".