157248 has 112 divisors (see below), whose sum is σ = 568960. Its totient is φ = 41472.

The previous prime is 157247. The next prime is 157253. The reversal of 157248 is 842751.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (157243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12090 + ... + 12102.

It is an arithmetic number, because the mean of its divisors is an integer number (5080).

2¹⁵⁷²⁴⁸ is an apocalyptic number.

157248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284480).

157248 is an abundant number, since it is smaller than the sum of its proper divisors (411712).

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

157248 is a wasteful number, since it uses less digits than its factorization.

157248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 25 counting only the distinct ones).

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

The square root of 157248 is about 396.5450794046. The cubic root of 157248 is about 53.9752973433.

Adding to 157248 its reverse (842751), we get a palindrome (999999).

The spelling of 157248 in words is "one hundred fifty-seven thousand, two hundred forty-eight".