144301968 has 60 divisors (see below), whose sum is σ = 404716780. Its totient is φ = 47996928.

The previous prime is 144301951. The next prime is 144301991. The reversal of 144301968 is 869103441.

144301968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38787984 + 105513984 = 6228^2 + 10272^2 .

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, 96168 + ... + 97656.

Almost surely, 2^144301968 is an apocalyptic number.

144301968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144301968 is an abundant number, since it is smaller than the sum of its proper divisors (260414812).

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

144301968 is a wasteful number, since it uses less digits than its factorization.

144301968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 144301968 is about 12012.5754107935. The cubic root of 144301968 is about 524.5144026873.

The spelling of 144301968 in words is "one hundred forty-four million, three hundred one thousand, nine hundred sixty-eight".