156384 has 48 divisors (see below), whose sum is σ = 458640. Its totient is φ = 51840.

The previous prime is 156371. The next prime is 156419. The reversal of 156384 is 483651.

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 (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

156384 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 7 ways as a sum of consecutive naturals, for example, 774 + ... + 954.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2¹⁵⁶³⁸⁴ 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 156384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320).

156384 is an abundant number, since it is smaller than the sum of its proper divisors (302256).

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

156384 is a wasteful number, since it uses less digits than its factorization.

156384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 156384 is about 395.4541692788. The cubic root of 156384 is about 53.8762598780.

The spelling of 156384 in words is "one hundred fifty-six thousand, three hundred eighty-four".