150360129528 has 288 divisors, whose sum is σ = 465290179200. Its totient is φ = 40296512256.

The previous prime is 150360129511. The next prime is 150360129547. The reversal of 150360129528 is 825921063051.

150360129528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 150360129528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75976843 + ... + 75978821.

It is an arithmetic number, because the mean of its divisors is an integer number (1615590900).

Almost surely, 2^150360129528 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 150360129528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232645089600).

150360129528 is an abundant number, since it is smaller than the sum of its proper divisors (314930049672).

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

150360129528 is a wasteful number, since it uses less digits than its factorization.

150360129528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 150360129528 in words is "one hundred fifty billion, three hundred sixty million, one hundred twenty-nine thousand, five hundred twenty-eight".