150180955824672 has 192 divisors, whose sum is σ = 442256189760000. Its totient is φ = 49578604657920.

The previous prime is 150180955824667. The next prime is 150180955824743. The reversal of 150180955824672 is 276428559081051.

150180955824672 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 8 + 0 + 9 + 5 + 582 + 46 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55149283 + ... + 57808349.

It is an arithmetic number, because the mean of its divisors is an integer number (2303417655000).

Almost surely, 2^{150180955824672} is an apocalyptic number.

150180955824672 is a gapful number since it is divisible by the number (12) 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 150180955824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221128094880000).

150180955824672 is an abundant number, since it is smaller than the sum of its proper divisors (292075233935328).

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

150180955824672 is a wasteful number, since it uses less digits than its factorization.

150180955824672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659716 (or 2659702 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 150180955824672 in words is "one hundred fifty trillion, one hundred eighty billion, nine hundred fifty-five million, eight hundred twenty-four thousand, six hundred seventy-two".