148747200 has 336 divisors, whose sum is σ = 589605120. Its totient is φ = 32071680.

The previous prime is 148747199. The next prime is 148747237. The reversal of 148747200 is 2747841.

148747200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638284 + ... + 638516.

Almost surely, 2^148747200 is an apocalyptic number.

148747200 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 148747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294802560).

148747200 is an abundant number, since it is smaller than the sum of its proper divisors (440857920).

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

148747200 is a wasteful number, since it uses less digits than its factorization.

148747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 148747200 is about 12196.1961283016. The cubic root of 148747200 is about 529.8459264972.

The spelling of 148747200 in words is "one hundred forty-eight million, seven hundred forty-seven thousand, two hundred".