144916128 has 240 divisors, whose sum is σ = 500068800. Its totient is φ = 41150592.

The previous prime is 144916117. The next prime is 144916139. The reversal of 144916128 is 821619441.

It is an interprime number because it is at equal distance from previous prime (144916117) and next prime (144916139).

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 a junction number, because it is equal to n+sod(n) for n = 144916092 and 144916101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 888975 + ... + 889137.

It is an arithmetic number, because the mean of its divisors is an integer number (2083620).

Almost surely, 2^144916128 is an apocalyptic number.

144916128 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 144916128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250034400).

144916128 is an abundant number, since it is smaller than the sum of its proper divisors (355152672).

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

144916128 is an equidigital number, since it uses as much as digits as its factorization.

144916128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

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

The square root of 144916128 is about 12038.1114797962. Note that the first 3 decimals coincide. The cubic root of 144916128 is about 525.2574737075.

The spelling of 144916128 in words is "one hundred forty-four million, nine hundred sixteen thousand, one hundred twenty-eight".