148219200 has 336 divisors, whose sum is σ = 559368960. Its totient is φ = 38154240.

The previous prime is 148219193. The next prime is 148219207. The reversal of 148219200 is 2912841.

It is an interprime number because it is at equal distance from previous prime (148219193) and next prime (148219207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148219207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2030364 + ... + 2030436.

Almost surely, 2^148219200 is an apocalyptic number.

148219200 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 148219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279684480).

148219200 is an abundant number, since it is smaller than the sum of its proper divisors (411149760).

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

148219200 is a wasteful number, since it uses less digits than its factorization.

148219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 148219200 is about 12174.5307917800. The cubic root of 148219200 is about 529.2182613080.

The spelling of 148219200 in words is "one hundred forty-eight million, two hundred nineteen thousand, two hundred".