150984 has 40 divisors (see below), whose sum is σ = 424710. Its totient is φ = 50112.

The previous prime is 150979. The next prime is 150989. The reversal of 150984 is 489051.

It is an interprime number because it is at equal distance from previous prime (150979) and next prime (150989).

It can be written as a sum of positive squares in only one way, i.e., 142884 + 8100 = 378^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 150984.

It is not an unprimeable number, because it can be changed into a prime (150989) by changing a digit.

150984 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 9 ways as a sum of consecutive naturals, for example, 532 + ... + 764.

2¹⁵⁰⁹⁸⁴ 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 150984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212355).

150984 is an abundant number, since it is smaller than the sum of its proper divisors (273726).

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

150984 is a wasteful number, since it uses less digits than its factorization.

150984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 150984 is about 388.5665966086. The cubic root of 150984 is about 53.2488593289.

It can be divided in two parts, 1509 and 84, that multiplied together give a triangular number (126756 = T₅₀₃).

The spelling of 150984 in words is "one hundred fifty thousand, nine hundred eighty-four".