150385441752 has 960 divisors, whose sum is σ = 578768652000. Its totient is φ = 35993051136.

The previous prime is 150385441747. The next prime is 150385441793. The reversal of 150385441752 is 257144583051.

150385441752 is a `hidden beast` number, since 1 + 5 + 0 + 38 + 544 + 1 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 150385441698 and 150385441707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 203498199 + ... + 203498937.

Almost surely, 2^150385441752 is an apocalyptic number.

150385441752 is a gapful number since it is divisible by the number (12) 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 150385441752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289384326000).

150385441752 is an abundant number, since it is smaller than the sum of its proper divisors (428383210248).

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

150385441752 is a wasteful number, since it uses less digits than its factorization.

150385441752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 150385441752 in words is "one hundred fifty billion, three hundred eighty-five million, four hundred forty-one thousand, seven hundred fifty-two".