150273223531200 has 2016 divisors, whose sum is σ = 718070883855360. Its totient is φ = 29867802624000.

The previous prime is 150273223531199. The next prime is 150273223531237. The reversal of 150273223531200 is 2135322372051.

150273223531200 is a `hidden beast` number, since 1 + 5 + 0 + 273 + 22 + 353 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 841489920 + ... + 841668480.

Almost surely, 2^{150273223531200} is an apocalyptic number.

150273223531200 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 150273223531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359035441927680).

150273223531200 is an abundant number, since it is smaller than the sum of its proper divisors (567797660324160).

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

150273223531200 is a wasteful number, since it uses less digits than its factorization.

150273223531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178644 (or 178612 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 150273223531200 in words is "one hundred fifty trillion, two hundred seventy-three billion, two hundred twenty-three million, five hundred thirty-one thousand, two hundred".