150032264205564 has 432 divisors, whose sum is σ = 450229465778400. Its totient is φ = 43133969249280.

The previous prime is 150032264205547. The next prime is 150032264205583. The reversal of 150032264205564 is 465502462230051.

150032264205564 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 3 + 2 + 2 + 64 + 20 + 5 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 508517512 + ... + 508812464.

It is an arithmetic number, because the mean of its divisors is an integer number (1042197837450).

Almost surely, 2^{150032264205564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150032264205564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225114732889200).

150032264205564 is an abundant number, since it is smaller than the sum of its proper divisors (300197201572836).

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

150032264205564 is a wasteful number, since it uses less digits than its factorization.

150032264205564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295083 (or 295031 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 150032264205564 in words is "one hundred fifty trillion, thirty-two billion, two hundred sixty-four million, two hundred five thousand, five hundred sixty-four".