141588 has 60 divisors (see below), whose sum is σ = 406560. Its totient is φ = 42768.

The previous prime is 141587. The next prime is 141601. The reversal of 141588 is 885141.

141588 = 9³ + 10³ + ... + 27³.

141588 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141587) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6145 + ... + 6167.

It is an arithmetic number, because the mean of its divisors is an integer number (6776).

2¹⁴¹⁵⁸⁸ is an apocalyptic number.

141588 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 141588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203280).

141588 is an abundant number, since it is smaller than the sum of its proper divisors (264972).

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

141588 is a wasteful number, since it uses less digits than its factorization.

141588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 141588 is about 376.2818092866. The cubic root of 141588 is about 52.1205290922.

It can be divided in two parts, 141 and 588, that added together give a 6-th power (729 = 3⁶).

The spelling of 141588 in words is "one hundred forty-one thousand, five hundred eighty-eight".