150225866801920 has 576 divisors, whose sum is σ = 446781891870720. Its totient is φ = 47125563899904.

The previous prime is 150225866801909. The next prime is 150225866801947. The reversal of 150225866801920 is 29108668522051.

150225866801920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×150225866801920³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18180543709 + ... + 18180551971.

It is an arithmetic number, because the mean of its divisors is an integer number (775663006720).

Almost surely, 2^{150225866801920} is an apocalyptic number.

150225866801920 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 150225866801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223390945935360).

150225866801920 is an abundant number, since it is smaller than the sum of its proper divisors (296556025068800).

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

150225866801920 is a wasteful number, since it uses less digits than its factorization.

150225866801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9660 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 150225866801920 in words is "one hundred fifty trillion, two hundred twenty-five billion, eight hundred sixty-six million, eight hundred one thousand, nine hundred twenty".