150205224400 has 240 divisors, whose sum is σ = 450444348288. Its totient is φ = 46761984000.

The previous prime is 150205224397. The next prime is 150205224437. The reversal of 150205224400 is 4422502051.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31814040 + ... + 31818760.

Almost surely, 2^150205224400 is an apocalyptic number.

150205224400 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 150205224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225222174144).

150205224400 is an abundant number, since it is smaller than the sum of its proper divisors (300239123888).

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

150205224400 is a wasteful number, since it uses less digits than its factorization.

150205224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 150205224400 its reverse (4422502051), we get a palindrome (154627726451).

The spelling of 150205224400 in words is "one hundred fifty billion, two hundred five million, two hundred twenty-four thousand, four hundred".