149984 has 24 divisors (see below), whose sum is σ = 304920. Its totient is φ = 72576.

The previous prime is 149971. The next prime is 149993. The reversal of 149984 is 489941.

Its product of digits (10368) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

149984 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 3 ways as a sum of consecutive naturals, for example, 1322 + ... + 1430.

It is an arithmetic number, because the mean of its divisors is an integer number (12705).

2¹⁴⁹⁹⁸⁴ 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 149984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152460).

149984 is an abundant number, since it is smaller than the sum of its proper divisors (154936).

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

149984 is a wasteful number, since it uses less digits than its factorization.

149984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 149984 is about 387.2776781587. The cubic root of 149984 is about 53.1310392212.

The spelling of 149984 in words is "one hundred forty-nine thousand, nine hundred eighty-four".