150052869120 has 1056 divisors, whose sum is σ = 637076183040. Its totient is φ = 29278863360.

The previous prime is 150052869091. The next prime is 150052869167. The reversal of 150052869120 is 21968250051.

150052869120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×150052869120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341805861 + ... + 341806299.

It is an arithmetic number, because the mean of its divisors is an integer number (603291840).

Almost surely, 2^150052869120 is an apocalyptic number.

150052869120 is a gapful number since it is divisible by the number (10) 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 150052869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318538091520).

150052869120 is an abundant number, since it is smaller than the sum of its proper divisors (487023313920).

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

150052869120 is a wasteful number, since it uses less digits than its factorization.

150052869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 150052869120 in words is "one hundred fifty billion, fifty-two million, eight hundred sixty-nine thousand, one hundred twenty".