144112968 has 48 divisors (see below), whose sum is σ = 393782220. Its totient is φ = 47609856.

The previous prime is 144112957. The next prime is 144112973. The reversal of 144112968 is 869211441.

144112968 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 143568324 + 544644 = 11982^2 + 738^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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, 721 + ... + 16992.

Almost surely, 2^144112968 is an apocalyptic number.

144112968 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 144112968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196891110).

144112968 is an abundant number, since it is smaller than the sum of its proper divisors (249669252).

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

144112968 is a wasteful number, since it uses less digits than its factorization.

144112968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17838 (or 17831 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 144112968 is about 12004.7060772016. The cubic root of 144112968 is about 524.2853077899.

The spelling of 144112968 in words is "one hundred forty-four million, one hundred twelve thousand, nine hundred sixty-eight".