147368 has 24 divisors (see below), whose sum is σ = 301950. Its totient is φ = 67392.

The previous prime is 147353. The next prime is 147377. The reversal of 147368 is 863741.

It can be written as a sum of positive squares in 3 ways, for example, as 88804 + 58564 = 298^2 + 242^2 .

It is an Ulam number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 147368.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147368.

It is an unprimeable number.

147368 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 5 ways as a sum of consecutive naturals, for example, 1298 + ... + 1406.

2¹⁴⁷³⁶⁸ 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 147368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150975).

147368 is an abundant number, since it is smaller than the sum of its proper divisors (154582).

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

147368 is a wasteful number, since it uses less digits than its factorization.

147368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 147368 is about 383.8853995661. The cubic root of 147368 is about 52.8203242845.

It can be divided in two parts, 147 and 368, that added together give a palindrome (515).

The spelling of 147368 in words is "one hundred forty-seven thousand, three hundred sixty-eight".