150564303120 has 480 divisors, whose sum is σ = 593411412096. Its totient is φ = 31228108800.

The previous prime is 150564303061. The next prime is 150564303151. The reversal of 150564303120 is 21303465051.

It is a super-2 number, since 2×150564303120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137250412 + ... + 137251508.

Almost surely, 2^150564303120 is an apocalyptic number.

150564303120 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 150564303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296705706048).

150564303120 is an abundant number, since it is smaller than the sum of its proper divisors (442847108976).

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

150564303120 is a wasteful number, since it uses less digits than its factorization.

150564303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 150564303120 its reverse (21303465051), we get a palindrome (171867768171).

The spelling of 150564303120 in words is "one hundred fifty billion, five hundred sixty-four million, three hundred three thousand, one hundred twenty".