145224320 has 32 divisors (see below), whose sum is σ = 347178420. Its totient is φ = 58089472.

The previous prime is 145224307. The next prime is 145224329. The reversal of 145224320 is 23422541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 144192064 + 1032256 = 12008^2 + 1016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (145224329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112817 + ... + 114096.

Almost surely, 2^145224320 is an apocalyptic number.

145224320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145224320 is an abundant number, since it is smaller than the sum of its proper divisors (201954100).

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

145224320 is an equidigital number, since it uses as much as digits as its factorization.

145224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226932 (or 226920 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 145224320 is about 12050.9053601794. The cubic root of 145224320 is about 525.6295637170.

Adding to 145224320 its reverse (23422541), we get a palindrome (168646861).

The spelling of 145224320 in words is "one hundred forty-five million, two hundred twenty-four thousand, three hundred twenty".