68145 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 27840.

The previous prime is 68141. The next prime is 68147. The reversal of 68145 is 54186.

68145 = 78² + 79² + ... + 87².

It is not a de Polignac number, because 68145 - 2² = 68141 is a prime.

68145 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (68141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1126 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁶⁸¹⁴⁵ is an apocalyptic number.

It is an amenable number.

68145 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

68145 is a wasteful number, since it uses less digits than its factorization.

68145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85.

The product of its digits is 960, while the sum is 24.

The square root of 68145 is about 261.0459729626. The cubic root of 68145 is about 40.8455421867.

Subtracting from 68145 its sum of digits (24), we obtain a square (68121 = 261²).

The spelling of 68145 in words is "sixty-eight thousand, one hundred forty-five".