144152320 has 72 divisors (see below), whose sum is σ = 371893536. Its totient is φ = 53219328.

The previous prime is 144152317. The next prime is 144152347. The reversal of 144152320 is 23251441.

It is a super-2 number, since 2×144152320² = 41559782722764800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144152291 and 144152300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12309 + ... + 20971.

It is an arithmetic number, because the mean of its divisors is an integer number (5165188).

Almost surely, 2^144152320 is an apocalyptic number.

144152320 is a gapful number since it is divisible by the number (10) 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 144152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185946768).

144152320 is an abundant number, since it is smaller than the sum of its proper divisors (227741216).

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

144152320 is an equidigital number, since it uses as much as digits as its factorization.

144152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697 (or 8683 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 144152320 is about 12006.3449892130. The cubic root of 144152320 is about 524.3330245177. Note that the first 3 decimals are identical.

The spelling of 144152320 in words is "one hundred forty-four million, one hundred fifty-two thousand, three hundred twenty".