147126 has 32 divisors (see below), whose sum is σ = 350208. Its totient is φ = 40320.

The previous prime is 147107. The next prime is 147137. The reversal of 147126 is 621741.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

147126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1246 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (10944).

2¹⁴⁷¹²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175104).

147126 is an abundant number, since it is smaller than the sum of its proper divisors (203082).

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

147126 is a wasteful number, since it uses less digits than its factorization.

147126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its digits is 336, while the sum is 21.

The square root of 147126 is about 383.5700718252. The cubic root of 147126 is about 52.7913955216.

Adding to 147126 its reverse (621741), we get a palindrome (768867).

It can be divided in two parts, 14 and 7126, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 147126 in words is "one hundred forty-seven thousand, one hundred twenty-six".