144148608 has 96 divisors (see below), whose sum is σ = 417968460. Its totient is φ = 47683584.

The previous prime is 144148553. The next prime is 144148619. The reversal of 144148608 is 806841441.

144148608 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 48 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142277184 + 1871424 = 11928^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180466 + ... + 181262.

Almost surely, 2^144148608 is an apocalyptic number.

144148608 is a gapful number since it is divisible by the number (18) 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 144148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208984230).

144148608 is an abundant number, since it is smaller than the sum of its proper divisors (273819852).

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

144148608 is a wasteful number, since it uses less digits than its factorization.

144148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 144148608 is about 12006.1904032878. The cubic root of 144148608 is about 524.3285238596.

The spelling of 144148608 in words is "one hundred forty-four million, one hundred forty-eight thousand, six hundred eight".