157344 has 48 divisors (see below), whose sum is σ = 453600. Its totient is φ = 47360.

The previous prime is 157327. The next prime is 157349. The reversal of 157344 is 443751.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (157349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 982 + ... + 1130.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹⁵⁷³⁴⁴ 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 157344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

157344 is an abundant number, since it is smaller than the sum of its proper divisors (296256).

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

157344 is a wasteful number, since it uses less digits than its factorization.

157344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 157344 is about 396.6661064422. Note that the first 3 decimals coincide. The cubic root of 157344 is about 53.9862790928.

157344 divided by its sum of digits (24) gives a palindrome (6556).

The spelling of 157344 in words is "one hundred fifty-seven thousand, three hundred forty-four".