145768 has 32 divisors (see below), whose sum is σ = 331200. Its totient is φ = 58752.

The previous prime is 145759. The next prime is 145771. The reversal of 145768 is 867541.

It is an unprimeable number.

145768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 996 + ... + 1132.

It is an arithmetic number, because the mean of its divisors is an integer number (10350).

2¹⁴⁵⁷⁶⁸ 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 145768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165600).

145768 is an abundant number, since it is smaller than the sum of its proper divisors (185432).

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

145768 is a wasteful number, since it uses less digits than its factorization.

145768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 145768 is about 381.7957569172. The cubic root of 145768 is about 52.6284684478.

The spelling of 145768 in words is "one hundred forty-five thousand, seven hundred sixty-eight".