150240400 has 60 divisors (see below), whose sum is σ = 369796644. Its totient is φ = 58624000.

The previous prime is 150240397. The next prime is 150240427. The reversal of 150240400 is 4042051.

It can be written as a sum of positive squares in 6 ways, for example, as 35664784 + 114575616 = 5972^2 + 10704^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11820 + ... + 20980.

Almost surely, 2^150240400 is an apocalyptic number.

150240400 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 150240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184898322).

150240400 is an abundant number, since it is smaller than the sum of its proper divisors (219556244).

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

150240400 is a wasteful number, since it uses less digits than its factorization.

150240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 150240400 is about 12257.2590737081. The cubic root of 150240400 is about 531.6129809995.

Adding to 150240400 its reverse (4042051), we get a palindrome (154282451).

The spelling of 150240400 in words is "one hundred fifty million, two hundred forty thousand, four hundred".