150205510340312 has 128 divisors (see below), whose sum is σ = 336214403328000. Its totient is φ = 61571059130880.

The previous prime is 150205510340293. The next prime is 150205510340359. The reversal of 150205510340312 is 213043015502051.

150205510340312 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35480987 + ... + 39488117.

It is an arithmetic number, because the mean of its divisors is an integer number (2626675026000).

Almost surely, 2^{150205510340312} 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 150205510340312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168107201664000).

150205510340312 is an abundant number, since it is smaller than the sum of its proper divisors (186008892987688).

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

150205510340312 is a wasteful number, since it uses less digits than its factorization.

150205510340312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007489 (or 4007485 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 150205510340312 its reverse (213043015502051), we get a palindrome (363248525842363).

The spelling of 150205510340312 in words is "one hundred fifty trillion, two hundred five billion, five hundred ten million, three hundred forty thousand, three hundred twelve".