148787200 has 78 divisors (see below), whose sum is σ = 369201134. Its totient is φ = 59473920.

The previous prime is 148787189. The next prime is 148787201. The reversal of 148787200 is 2787841.

It can be written as a sum of positive squares in 3 ways, for example, as 42614784 + 106172416 = 6528^2 + 10304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 148787200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148787201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101674 + ... + 103126.

Almost surely, 2^148787200 is an apocalyptic number.

148787200 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 148787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184600567).

148787200 is an abundant number, since it is smaller than the sum of its proper divisors (220413934).

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

148787200 is an equidigital number, since it uses as much as digits as its factorization.

148787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 148787200 is about 12197.8358736294. The cubic root of 148787200 is about 529.8934163269.

The spelling of 148787200 in words is "one hundred forty-eight million, seven hundred eighty-seven thousand, two hundred".