150048 has 36 divisors (see below), whose sum is σ = 427518. Its totient is φ = 49920.

The previous prime is 150041. The next prime is 150053. The reversal of 150048 is 840051.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 11664 = 372^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 150048.

It is not an unprimeable number, because it can be changed into a prime (150041) by changing a digit.

150048 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28 + ... + 548.

2¹⁵⁰⁰⁴⁸ is an apocalyptic number.

150048 is a gapful number since it is divisible by the number (18) 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 150048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213759).

150048 is an abundant number, since it is smaller than the sum of its proper divisors (277470).

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

150048 is a wasteful number, since it uses less digits than its factorization.

150048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150048 is about 387.3602973977. The cubic root of 150048 is about 53.1385953671.

Adding to 150048 its reverse (840051), we get a palindrome (990099).

The spelling of 150048 in words is "one hundred fifty thousand, forty-eight".