150287155200 has 1134 divisors, whose sum is σ = 674431178694. Its totient is φ = 31708938240.

The previous prime is 150287155199. The next prime is 150287155231. The reversal of 150287155200 is 2551782051.

150287155200 is a `hidden beast` number, since 1 + 50 + 2 + 87 + 1 + 5 + 520 + 0 = 666.

150287155200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 462422016 + 149824733184 = 21504^2 + 387072^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11560550394 + ... + 11560550406.

Almost surely, 2^150287155200 is an apocalyptic number.

150287155200 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 150287155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337215589347).

150287155200 is an abundant number, since it is smaller than the sum of its proper divisors (524144023494).

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

150287155200 is an frugal number, since it uses more digits than its factorization.

150287155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 150287155200 in words is "one hundred fifty billion, two hundred eighty-seven million, one hundred fifty-five thousand, two hundred".