150064855200 has 576 divisors, whose sum is σ = 586151233920. Its totient is φ = 36833771520.

The previous prime is 150064855177. The next prime is 150064855201. The reversal of 150064855200 is 2558460051.

150064855200 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 648 + 5 + 5 + 2 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (150064855201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153597112 + ... + 153598088.

It is an arithmetic number, because the mean of its divisors is an integer number (1017623670).

Almost surely, 2^150064855200 is an apocalyptic number.

150064855200 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 150064855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293075616960).

150064855200 is an abundant number, since it is smaller than the sum of its proper divisors (436086378720).

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

150064855200 is a wasteful number, since it uses less digits than its factorization.

150064855200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 150064855200 in words is "one hundred fifty billion, sixty-four million, eight hundred fifty-five thousand, two hundred".