150800 has 60 divisors (see below), whose sum is σ = 403620. Its totient is φ = 53760.

The previous prime is 150797. The next prime is 150827. The reversal of 150800 is 8051.

It can be written as a sum of positive squares in 6 ways, for example, as 15376 + 135424 = 124^2 + 368^2 .

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5186 + ... + 5214.

It is an arithmetic number, because the mean of its divisors is an integer number (6727).

2¹⁵⁰⁸⁰⁰ is an apocalyptic number.

150800 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 150800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201810).

150800 is an abundant number, since it is smaller than the sum of its proper divisors (252820).

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

150800 is a wasteful number, since it uses less digits than its factorization.

150800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 150800 is about 388.3297567790. The cubic root of 150800 is about 53.2272195681.

Adding to 150800 its reverse (8051), we get a palindrome (158851).

The spelling of 150800 in words is "one hundred fifty thousand, eight hundred".