150724085824 has 63 divisors (see below), whose sum is σ = 323956833543. Its totient is φ = 69546327552.

The previous prime is 150724085797. The next prime is 150724085843. The reversal of 150724085824 is 428580427051.

The square root of 150724085824 is 388232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16943708224 + 133780377600 = 130168^2 + 365760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40374262 + ... + 40377994.

It is an arithmetic number, because the mean of its divisors is an integer number (5142171961).

Almost surely, 2^150724085824 is an apocalyptic number.

150724085824 is the 388232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150724085824

150724085824 is an abundant number, since it is smaller than the sum of its proper divisors (173232747719).

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

150724085824 is an frugal number, since it uses more digits than its factorization.

150724085824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 46.

The spelling of 150724085824 in words is "one hundred fifty billion, seven hundred twenty-four million, eighty-five thousand, eight hundred twenty-four".