141288 has 48 divisors (see below), whose sum is σ = 418080. Its totient is φ = 38976.

The previous prime is 141283. The next prime is 141301. The reversal of 141288 is 882141.

141288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (141283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4858 + ... + 4886.

It is an arithmetic number, because the mean of its divisors is an integer number (8710).

141288 is a Friedman number, since it can be written as 841*21*8, using all its digits and the basic arithmetic operations.

2¹⁴¹²⁸⁸ 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 141288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209040).

141288 is an abundant number, since it is smaller than the sum of its proper divisors (276792).

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

141288 is a wasteful number, since it uses less digits than its factorization.

141288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 141288 is about 375.8829605077. The cubic root of 141288 is about 52.0836916598.

The spelling of 141288 in words is "one hundred forty-one thousand, two hundred eighty-eight".