145817568 has 288 divisors, whose sum is σ = 495331200. Its totient is φ = 40255488.

The previous prime is 145817557. The next prime is 145817569. The reversal of 145817568 is 865718541.

145817568 is a `hidden beast` number, since 1 + 4 + 5 + 81 + 7 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145817569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1845753 + ... + 1845831.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^145817568 is an apocalyptic number.

145817568 is a gapful number since it is divisible by the number (18) 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 145817568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

145817568 is an abundant number, since it is smaller than the sum of its proper divisors (349513632).

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

145817568 is a wasteful number, since it uses less digits than its factorization.

145817568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 145817568 is about 12075.4945240350. The cubic root of 145817568 is about 526.3443315946.

The spelling of 145817568 in words is "one hundred forty-five million, eight hundred seventeen thousand, five hundred sixty-eight".