150180475200 has 672 divisors, whose sum is σ = 598567117824. Its totient is φ = 32181288960.

The previous prime is 150180475189. The next prime is 150180475219. The reversal of 150180475200 is 2574081051.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 266750119 + ... + 266750681.

Almost surely, 2^150180475200 is an apocalyptic number.

150180475200 is a gapful number since it is divisible by the number (10) 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 150180475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299283558912).

150180475200 is an abundant number, since it is smaller than the sum of its proper divisors (448386642624).

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

150180475200 is a wasteful number, since it uses less digits than its factorization.

150180475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 150180475200 in words is "one hundred fifty billion, one hundred eighty million, four hundred seventy-five thousand, two hundred".