387150 has 48 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 98560.

The previous prime is 387137. The next prime is 387151. The reversal of 387150 is 51783.

387150 is nontrivially palindromic in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 387150.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387150.

It is not an unprimeable number, because it can be changed into a prime (387151) by changing a digit.

387150 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 23 ways as a sum of consecutive naturals, for example, 4306 + ... + 4394.

It is an arithmetic number, because the mean of its divisors is an integer number (20925).

2³⁸⁷¹⁵⁰ is an apocalyptic number.

387150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 387150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200).

387150 is an abundant number, since it is smaller than the sum of its proper divisors (617250).

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

387150 is a wasteful number, since it uses less digits than its factorization.

387150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 387150 is about 622.2137896254. The cubic root of 387150 is about 72.8830302910.

It can be divided in two parts, 3 and 87150, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 387150 in words is "three hundred eighty-seven thousand, one hundred fifty".