150206800 has 60 divisors (see below), whose sum is σ = 363638556. Its totient is φ = 59622400.

The previous prime is 150206789. The next prime is 150206801. The reversal of 150206800 is 8602051.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6110784 + 144096016 = 2472^2 + 12004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150206801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53430 + ... + 56170.

Almost surely, 2^150206800 is an apocalyptic number.

150206800 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 150206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181819278).

150206800 is an abundant number, since it is smaller than the sum of its proper divisors (213431756).

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

150206800 is a wasteful number, since it uses less digits than its factorization.

150206800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 150206800 is about 12255.8883806928. Note that the first 3 decimals coincide. The cubic root of 150206800 is about 531.5733477896.

Adding to 150206800 its reverse (8602051), we get a palindrome (158808851).

The spelling of 150206800 in words is "one hundred fifty million, two hundred six thousand, eight hundred".