145444320 has 288 divisors, whose sum is σ = 581188608. Its totient is φ = 32431104.

The previous prime is 145444319. The next prime is 145444331. The reversal of 145444320 is 23444541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473607 + ... + 473913.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016).

Almost surely, 2^145444320 is an apocalyptic number.

145444320 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 145444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290594304).

145444320 is an abundant number, since it is smaller than the sum of its proper divisors (435744288).

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

145444320 is a wasteful number, since it uses less digits than its factorization.

145444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 145444320 is about 12060.0298507093. The cubic root of 145444320 is about 525.8948548188.

Adding to 145444320 its reverse (23444541), we get a palindrome (168888861).

The spelling of 145444320 in words is "one hundred forty-five million, four hundred forty-four thousand, three hundred twenty".