148824 has 64 divisors (see below), whose sum is σ = 453600. Its totient is φ = 44928.

The previous prime is 148817. The next prime is 148829. The reversal of 148824 is 428841.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (148829) by changing a digit.

148824 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2782 + ... + 2834.

2¹⁴⁸⁸²⁴ 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 148824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

148824 is an abundant number, since it is smaller than the sum of its proper divisors (304776).

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

148824 is a wasteful number, since it uses less digits than its factorization.

148824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 148824 is about 385.7771377363. Note that the first 3 decimals coincide. The cubic root of 148824 is about 52.9937099453.

The spelling of 148824 in words is "one hundred forty-eight thousand, eight hundred twenty-four".