144907320 has 128 divisors (see below), whose sum is σ = 463760640. Its totient is φ = 36096000.

The previous prime is 144907267. The next prime is 144907327. The reversal of 144907320 is 23709441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144907327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 511899 + ... + 512181.

It is an arithmetic number, because the mean of its divisors is an integer number (3623130).

Almost surely, 2^144907320 is an apocalyptic number.

144907320 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 144907320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231880320).

144907320 is an abundant number, since it is smaller than the sum of its proper divisors (318853320).

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

144907320 is a wasteful number, since it uses less digits than its factorization.

144907320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 144907320 is about 12037.7456361231. The cubic root of 144907320 is about 525.2468317782.

The spelling of 144907320 in words is "one hundred forty-four million, nine hundred seven thousand, three hundred twenty".