150305323440 has 80 divisors (see below), whose sum is σ = 469073772000. Its totient is φ = 39812407296.

The previous prime is 150305323429. The next prime is 150305323501. The reversal of 150305323440 is 44323503051.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 150305323398 and 150305323407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065825 + ... + 2137344.

It is an arithmetic number, because the mean of its divisors is an integer number (5863422150).

Almost surely, 2^150305323440 is an apocalyptic number.

150305323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150305323440 is an abundant number, since it is smaller than the sum of its proper divisors (318768448560).

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

150305323440 is a wasteful number, since it uses less digits than its factorization.

150305323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203334 (or 4203328 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 150305323440 its reverse (44323503051), we get a palindrome (194628826491).

The spelling of 150305323440 in words is "one hundred fifty billion, three hundred five million, three hundred twenty-three thousand, four hundred forty".