150244163731200 has 2592 divisors, whose sum is σ = 656205735144960. Its totient is φ = 29405705011200.

The previous prime is 150244163731187. The next prime is 150244163731267. The reversal of 150244163731200 is 2137361442051.

150244163731200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 105139372086 + ... + 105139373514.

It is an arithmetic number, because the mean of its divisors is an integer number (253165792880).

Almost surely, 2^{150244163731200} is an apocalyptic number.

150244163731200 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 150244163731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328102867572480).

150244163731200 is an abundant number, since it is smaller than the sum of its proper divisors (505961571413760).

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

150244163731200 is a wasteful number, since it uses less digits than its factorization.

150244163731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 150244163731200 in words is "one hundred fifty trillion, two hundred forty-four billion, one hundred sixty-three million, seven hundred thirty-one thousand, two hundred".