150321771612144 has 1280 divisors, whose sum is σ = 530419450982400. Its totient is φ = 40259126476800.

The previous prime is 150321771612137. The next prime is 150321771612151. The reversal of 150321771612144 is 441216177123051.

150321771612144 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 2 + 17 + 7 + 1 + 612 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (150321771612137) and next prime (150321771612151).

It is a super-2 number, since 2×150321771612144² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150321771612144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7153740582 + ... + 7153761594.

It is an arithmetic number, because the mean of its divisors is an integer number (414390196080).

Almost surely, 2^{150321771612144} 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 150321771612144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265209725491200).

150321771612144 is an abundant number, since it is smaller than the sum of its proper divisors (380097679370256).

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

150321771612144 is a wasteful number, since it uses less digits than its factorization.

150321771612144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21191 (or 21179 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 150321771612144 in words is "one hundred fifty trillion, three hundred twenty-one billion, seven hundred seventy-one million, six hundred twelve thousand, one hundred forty-four".