146268 has 36 divisors (see below), whose sum is σ = 393120. Its totient is φ = 45696.

The previous prime is 146249. The next prime is 146273. The reversal of 146268 is 862641.

146268 is nontrivially palindromic in base 8.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

146268 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 11 ways as a sum of consecutive naturals, for example, 493 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2¹⁴⁶²⁶⁸ is an apocalyptic number.

146268 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 146268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

146268 is an abundant number, since it is smaller than the sum of its proper divisors (246852).

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

146268 is a wasteful number, since it uses less digits than its factorization.

146268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 146268 is about 382.4499967316. The cubic root of 146268 is about 52.6885735566.

It can be divided in two parts, 146 and 268, that added together give a palindrome (414).

The spelling of 146268 in words is "one hundred forty-six thousand, two hundred sixty-eight".