141768 has 48 divisors (see below), whose sum is σ = 421200. Its totient is φ = 42720.

The previous prime is 141767. The next prime is 141769. The reversal of 141768 is 867141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141767) and next prime (141769).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 141768.

It is not an unprimeable number, because it can be changed into a prime (141761) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 703 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2¹⁴¹⁷⁶⁸ is an apocalyptic number.

141768 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 141768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210600).

141768 is an abundant number, since it is smaller than the sum of its proper divisors (279432).

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

141768 is a wasteful number, since it uses less digits than its factorization.

141768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 141768 is about 376.5209157537. The cubic root of 141768 is about 52.1426065809.

It can be divided in two parts, 1417 and 68, that added together give a triangular number (1485 = T₅₄).

The spelling of 141768 in words is "one hundred forty-one thousand, seven hundred sixty-eight".