147258 has 28 divisors (see below), whose sum is σ = 334458. Its totient is φ = 48600.

The previous prime is 147253. The next prime is 147263. The reversal of 147258 is 852741.

It is an interprime number because it is at equal distance from previous prime (147253) and next prime (147263).

It can be written as a sum of positive squares in only one way, i.e., 88209 + 59049 = 297^2 + 243^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147258.

It is not an unprimeable number, because it can be changed into a prime (147253) 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 13 ways as a sum of consecutive naturals, for example, 1408 + ... + 1508.

2¹⁴⁷²⁵⁸ is an apocalyptic number.

147258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

147258 is the 243-rd heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167229).

147258 is an abundant number, since it is smaller than the sum of its proper divisors (187200).

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

147258 is an equidigital number, since it uses as much as digits as its factorization.

147258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 147258 is about 383.7421008959. The cubic root of 147258 is about 52.8071787760.

Adding to 147258 its reverse (852741), we get a palindrome (999999).

The spelling of 147258 in words is "one hundred forty-seven thousand, two hundred fifty-eight".