157224 has 16 divisors (see below), whose sum is σ = 393120. Its totient is φ = 52400.

The previous prime is 157219. The next prime is 157229. The reversal of 157224 is 422751.

It is an interprime number because it is at equal distance from previous prime (157219) and next prime (157229).

It is a self number, because there is not a number n which added to its sum of digits gives 157224.

It is not an unprimeable number, because it can be changed into a prime (157229) by changing a digit.

157224 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 3 ways as a sum of consecutive naturals, for example, 3252 + ... + 3299.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2¹⁵⁷²²⁴ is an apocalyptic number.

It is an amenable number.

157224 is an abundant number, since it is smaller than the sum of its proper divisors (235896).

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

157224 is a wasteful number, since it uses less digits than its factorization.

157224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6560 (or 6556 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 157224 is about 396.5148168732. The cubic root of 157224 is about 53.9725512076.

Adding to 157224 its reverse (422751), we get a palindrome (579975).

It can be divided in two parts, 1572 and 24, that added together give a triangular number (1596 = T₅₆).

The spelling of 157224 in words is "one hundred fifty-seven thousand, two hundred twenty-four".