148519200 has 144 divisors (see below), whose sum is σ = 509029920. Its totient is φ = 37509120.

The previous prime is 148519199. The next prime is 148519207. The reversal of 148519200 is 2915841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (148519207) 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 23 ways as a sum of consecutive naturals, for example, 43972 + ... + 47228.

It is an arithmetic number, because the mean of its divisors is an integer number (3534930).

Almost surely, 2^148519200 is an apocalyptic number.

148519200 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 148519200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254514960).

148519200 is an abundant number, since it is smaller than the sum of its proper divisors (360510720).

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

148519200 is a wasteful number, since it uses less digits than its factorization.

148519200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 148519200 is about 12186.8453670341. The cubic root of 148519200 is about 529.5750717693.

The spelling of 148519200 in words is "one hundred forty-eight million, five hundred nineteen thousand, two hundred".