144083628 has 36 divisors (see below), whose sum is σ = 392228928. Its totient is φ = 44333280.

The previous prime is 144083617. The next prime is 144083683. The reversal of 144083628 is 826380441.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 144083592 and 144083601.

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, 153468 + ... + 154403.

It is an arithmetic number, because the mean of its divisors is an integer number (10895248).

Almost surely, 2^144083628 is an apocalyptic number.

144083628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144083628 is an abundant number, since it is smaller than the sum of its proper divisors (248145300).

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

144083628 is a wasteful number, since it uses less digits than its factorization.

144083628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307894 (or 307889 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 144083628 is about 12003.4839942410. The cubic root of 144083628 is about 524.2497255769.

The spelling of 144083628 in words is "one hundred forty-four million, eighty-three thousand, six hundred twenty-eight".