157824 has 48 divisors (see below), whose sum is σ = 457470. Its totient is φ = 52224.

The previous prime is 157823. The next prime is 157831. The reversal of 157824 is 428751.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 28224 = 360^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (157823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1084 + ... + 1220.

2¹⁵⁷⁸²⁴ 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 157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228735).

157824 is an abundant number, since it is smaller than the sum of its proper divisors (299646).

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

157824 is a wasteful number, since it uses less digits than its factorization.

157824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

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

The square root of 157824 is about 397.2706885739. The cubic root of 157824 is about 54.0411209419.

The spelling of 157824 in words is "one hundred fifty-seven thousand, eight hundred twenty-four".