141468768 has 288 divisors, whose sum is σ = 501935616. Its totient is φ = 38320128.

The previous prime is 141468751. The next prime is 141468799. The reversal of 141468768 is 867864141.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (258048) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251880 + ... + 1251992.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 2^141468768 is an apocalyptic number.

141468768 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 141468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

141468768 is an abundant number, since it is smaller than the sum of its proper divisors (360466848).

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

141468768 is a wasteful number, since it uses less digits than its factorization.

141468768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 141468768 is about 11894.0644020452. The cubic root of 141468768 is about 521.0589465959.

The spelling of 141468768 in words is "one hundred forty-one million, four hundred sixty-eight thousand, seven hundred sixty-eight".