149184 has 84 divisors (see below), whose sum is σ = 501904. Its totient is φ = 41472.

The previous prime is 149183. The next prime is 149197. The reversal of 149184 is 481941.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149184.

It is not an unprimeable number, because it can be changed into a prime (149183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4014 + ... + 4050.

2¹⁴⁹¹⁸⁴ is an apocalyptic number.

149184 is a gapful number since it is divisible by the number (14) 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 149184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250952).

149184 is an abundant number, since it is smaller than the sum of its proper divisors (352720).

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

149184 is a wasteful number, since it uses less digits than its factorization.

149184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 149184 is about 386.2434465463. The cubic root of 149184 is about 53.0364055084.

It can be divided in two parts, 149 and 184, that added together give a palindrome (333).

The spelling of 149184 in words is "one hundred forty-nine thousand, one hundred eighty-four".