150342925824 has 960 divisors, whose sum is σ = 567197030400. Its totient is φ = 39504568320.

The previous prime is 150342925819. The next prime is 150342925853. The reversal of 150342925824 is 428529243051.

150342925824 is a `hidden beast` number, since 1 + 50 + 342 + 9 + 258 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 150342925824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554770809 + ... + 554771079.

It is an arithmetic number, because the mean of its divisors is an integer number (590830240).

Almost surely, 2^150342925824 is an apocalyptic number.

150342925824 is a gapful number since it is divisible by the number (14) 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 150342925824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283598515200).

150342925824 is an abundant number, since it is smaller than the sum of its proper divisors (416854104576).

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

150342925824 is an frugal number, since it uses more digits than its factorization.

150342925824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 150342925824 in words is "one hundred fifty billion, three hundred forty-two million, nine hundred twenty-five thousand, eight hundred twenty-four".