145306224 has 240 divisors, whose sum is σ = 509134080. Its totient is φ = 39191040.

The previous prime is 145306177. The next prime is 145306229. The reversal of 145306224 is 422603541.

145306224 is a `hidden beast` number, since 1 + 4 + 5 + 30 + 622 + 4 = 666.

It is a super-2 number, since 2×145306224² = 42227797466276352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145306229) 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 47 ways as a sum of consecutive naturals, for example, 516964 + ... + 517244.

It is an arithmetic number, because the mean of its divisors is an integer number (2121392).

Almost surely, 2^145306224 is an apocalyptic number.

145306224 is a gapful number since it is divisible by the number (14) 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 145306224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254567040).

145306224 is an abundant number, since it is smaller than the sum of its proper divisors (363827856).

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

145306224 is a wasteful number, since it uses less digits than its factorization.

145306224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 145306224 is about 12054.3031320769. The cubic root of 145306224 is about 525.7283604680.

Adding to 145306224 its reverse (422603541), we get a palindrome (567909765).

It can be divided in two parts, 145306 and 224, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 145306224 in words is "one hundred forty-five million, three hundred six thousand, two hundred twenty-four".