387144 has 48 divisors (see below), whose sum is σ = 1107600. Its totient is φ = 121824.

The previous prime is 387137. The next prime is 387151. The reversal of 387144 is 441783.

It is an interprime number because it is at equal distance from previous prime (387137) and next prime (387151).

It is an unprimeable number.

387144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1227 + ... + 1509.

It is an arithmetic number, because the mean of its divisors is an integer number (23075).

2³⁸⁷¹⁴⁴ 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 387144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553800).

387144 is an abundant number, since it is smaller than the sum of its proper divisors (720456).

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

387144 is a wasteful number, since it uses less digits than its factorization.

387144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 387144 is about 622.2089681128. The cubic root of 387144 is about 72.8826537785.

The spelling of 387144 in words is "three hundred eighty-seven thousand, one hundred forty-four".