146568 has 32 divisors (see below), whose sum is σ = 380160. Its totient is φ = 47040.

The previous prime is 146563. The next prime is 146581. The reversal of 146568 is 865641.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146563) by changing a digit.

146568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2¹⁴⁶⁵⁶⁸ 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 146568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190080).

146568 is an abundant number, since it is smaller than the sum of its proper divisors (233592).

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

146568 is a wasteful number, since it uses less digits than its factorization.

146568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 146568 is about 382.8420039651. The cubic root of 146568 is about 52.7245708989.

It can be divided in two parts, 146 and 568, that multiplied together give a palindrome (82928).

The spelling of 146568 in words is "one hundred forty-six thousand, five hundred sixty-eight".