146124 has 60 divisors (see below), whose sum is σ = 426888. Its totient is φ = 43200.

The previous prime is 146117. The next prime is 146141. The reversal of 146124 is 421641.

146124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 146097 and 146106.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3544 + ... + 3584.

2¹⁴⁶¹²⁴ 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 146124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213444).

146124 is an abundant number, since it is smaller than the sum of its proper divisors (280764).

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

146124 is a wasteful number, since it uses less digits than its factorization.

146124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 57 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 146124 is about 382.2616904687. The cubic root of 146124 is about 52.6712773474.

146124 divided by its sum of digits (18) gives a palindrome (8118).

Adding to 146124 its reverse (421641), we get a palindrome (567765).

It can be divided in two parts, 1461 and 24, that added together give a triangular number (1485 = T₅₄).

The spelling of 146124 in words is "one hundred forty-six thousand, one hundred twenty-four".