141724128 has 96 divisors (see below), whose sum is σ = 457906176. Its totient is φ = 37375488.

The previous prime is 141724123. The next prime is 141724151. The reversal of 141724128 is 821427141.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 141724095 and 141724104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141724123) 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, 625 + ... + 16847.

It is an arithmetic number, because the mean of its divisors is an integer number (4769856).

Almost surely, 2^141724128 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 141724128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228953088).

141724128 is an abundant number, since it is smaller than the sum of its proper divisors (316182048).

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

141724128 is a wasteful number, since it uses less digits than its factorization.

141724128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16256 (or 16248 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 141724128 is about 11904.7943283368. The cubic root of 141724128 is about 521.3722728411.

The spelling of 141724128 in words is "one hundred forty-one million, seven hundred twenty-four thousand, one hundred twenty-eight".