150353424640 has 144 divisors (see below), whose sum is σ = 369308456496. Its totient is φ = 58628505600.

The previous prime is 150353424631. The next prime is 150353424647. The reversal of 150353424640 is 46424353051.

It can be written as a sum of positive squares in 8 ways, for example, as 29661106176 + 120692318464 = 172224^2 + 347408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 150353424640.

It is not an unprimeable number, because it can be changed into a prime (150353424647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8814520 + ... + 8831560.

It is an arithmetic number, because the mean of its divisors is an integer number (2564642059).

Almost surely, 2^150353424640 is an apocalyptic number.

150353424640 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 150353424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184654228248).

150353424640 is an abundant number, since it is smaller than the sum of its proper divisors (218955031856).

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

150353424640 is a wasteful number, since it uses less digits than its factorization.

150353424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17236 (or 17222 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 150353424640 its reverse (46424353051), we get a palindrome (196777777691).

The spelling of 150353424640 in words is "one hundred fifty billion, three hundred fifty-three million, four hundred twenty-four thousand, six hundred forty".