150150085728 has 96 divisors (see below), whose sum is σ = 418526287200. Its totient is φ = 46970757120.

The previous prime is 150150085721. The next prime is 150150085741. The reversal of 150150085728 is 827580051051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 150150085728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150150085721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437758 + ... + 701378.

It is an arithmetic number, because the mean of its divisors is an integer number (4359648825).

Almost surely, 2^150150085728 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 150150085728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209263143600).

150150085728 is an abundant number, since it is smaller than the sum of its proper divisors (268376201472).

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

150150085728 is a wasteful number, since it uses less digits than its factorization.

150150085728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264000 (or 263992 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 42.

The spelling of 150150085728 in words is "one hundred fifty billion, one hundred fifty million, eighty-five thousand, seven hundred twenty-eight".