145564224 has 112 divisors (see below), whose sum is σ = 429280320. Its totient is φ = 43223040.

The previous prime is 145564193. The next prime is 145564229. The reversal of 145564224 is 422465541.

It is a Cunningham number, because it is equal to 12065²-1.

It is not an unprimeable number, because it can be changed into a prime (145564229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71379 + ... + 73389.

It is an arithmetic number, because the mean of its divisors is an integer number (3832860).

Almost surely, 2^145564224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214640160).

145564224 is an abundant number, since it is smaller than the sum of its proper divisors (283716096).

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

145564224 is a wasteful number, since it uses less digits than its factorization.

145564224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2058 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 145564224 is about 12064.9999585578. Note that the first 4 decimals coincide. The cubic root of 145564224 is about 526.0393306719.

The spelling of 145564224 in words is "one hundred forty-five million, five hundred sixty-four thousand, two hundred twenty-four".