150120 has 64 divisors (see below), whose sum is σ = 504000. Its totient is φ = 39744.

The previous prime is 150107. The next prime is 150131. The reversal of 150120 is 21051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

150120 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 15 ways as a sum of consecutive naturals, for example, 1011 + ... + 1149.

It is an arithmetic number, because the mean of its divisors is an integer number (7875).

2¹⁵⁰¹²⁰ is an apocalyptic number.

150120 is a gapful number since it is divisible by the number (10) 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 150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252000).

150120 is an abundant number, since it is smaller than the sum of its proper divisors (353880).

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

150120 is a wasteful number, since it uses less digits than its factorization.

150120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 150120 is about 387.4532229831. The cubic root of 150120 is about 53.1470934634.

Adding to 150120 its reverse (21051), we get a palindrome (171171).

It can be divided in two parts, 1501 and 20, that added together give a square (1521 = 39²).

The spelling of 150120 in words is "one hundred fifty thousand, one hundred twenty".