147288 has 48 divisors (see below), whose sum is σ = 411480. Its totient is φ = 43776.

The previous prime is 147283. The next prime is 147289. The reversal of 147288 is 882741.

Its product of digits (3584) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147288.

It is not an unprimeable number, because it can be changed into a prime (147283) by changing a digit.

147288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7743 + ... + 7761.

2¹⁴⁷²⁸⁸ 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 147288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205740).

147288 is an abundant number, since it is smaller than the sum of its proper divisors (264192).

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

147288 is a wasteful number, since it uses less digits than its factorization.

147288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

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

The square root of 147288 is about 383.7811876578. The cubic root of 147288 is about 52.8107645637.

It can be divided in two parts, 147 and 288, that added together give a triangular number (435 = T₂₉).

The spelling of 147288 in words is "one hundred forty-seven thousand, two hundred eighty-eight".