141084384 has 96 divisors (see below), whose sum is σ = 429359616. Its totient is φ = 39728640.

The previous prime is 141084373. The next prime is 141084389. The reversal of 141084384 is 483480141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141084389) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46234 + ... + 49190.

It is an arithmetic number, because the mean of its divisors is an integer number (4472496).

Almost surely, 2^141084384 is an apocalyptic number.

141084384 is a gapful number since it is divisible by the number (14) 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 141084384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214679808).

141084384 is an abundant number, since it is smaller than the sum of its proper divisors (288275232).

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

141084384 is a wasteful number, since it uses less digits than its factorization.

141084384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 141084384 is about 11877.8947629620. The cubic root of 141084384 is about 520.5865964120.

The spelling of 141084384 in words is "one hundred forty-one million, eighty-four thousand, three hundred eighty-four".