150820 has 12 divisors (see below), whose sum is σ = 316764. Its totient is φ = 60320.

The previous prime is 150797. The next prime is 150827. The reversal of 150820 is 28051.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 116964 = 184^2 + 342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 150794 and 150803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150827) by changing a digit.

150820 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, 3751 + ... + 3790.

It is an arithmetic number, because the mean of its divisors is an integer number (26397).

2¹⁵⁰⁸²⁰ is an apocalyptic number.

150820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150820 is an abundant number, since it is smaller than the sum of its proper divisors (165944).

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

150820 is a wasteful number, since it uses less digits than its factorization.

150820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7548 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 150820 is about 388.3555072353. The cubic root of 150820 is about 53.2295725684.

Adding to 150820 its reverse (28051), we get a palindrome (178871).

The spelling of 150820 in words is "one hundred fifty thousand, eight hundred twenty".