141085824 has 128 divisors (see below), whose sum is σ = 413614080. Its totient is φ = 42255360.

The previous prime is 141085817. The next prime is 141085843. The reversal of 141085824 is 428580141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536317 + ... + 536579.

It is an arithmetic number, because the mean of its divisors is an integer number (3231360).

Almost surely, 2^141085824 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 141085824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206807040).

141085824 is an abundant number, since it is smaller than the sum of its proper divisors (272528256).

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

141085824 is a wasteful number, since it uses less digits than its factorization.

141085824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 141085824 is about 11877.9553796097. The cubic root of 141085824 is about 520.5883675557.

The spelling of 141085824 in words is "one hundred forty-one million, eighty-five thousand, eight hundred twenty-four".