148535200 has 72 divisors (see below), whose sum is σ = 395599680. Its totient is φ = 54009600.

The previous prime is 148535197. The next prime is 148535209. The reversal of 148535200 is 2535841.

148535200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (148535209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361 + ... + 17239.

It is an arithmetic number, because the mean of its divisors is an integer number (5494440).

Almost surely, 2^148535200 is an apocalyptic number.

148535200 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 148535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197799840).

148535200 is an abundant number, since it is smaller than the sum of its proper divisors (247064480).

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

148535200 is a wasteful number, since it uses less digits than its factorization.

148535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16910 (or 16897 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 148535200 is about 12187.5017948717. The cubic root of 148535200 is about 529.5940881588.

The spelling of 148535200 in words is "one hundred forty-eight million, five hundred thirty-five thousand, two hundred".