150064545600200 has 384 divisors, whose sum is σ = 442930274576640. Its totient is φ = 46310204160000.

The previous prime is 150064545600083. The next prime is 150064545600323. The reversal of 150064545600200 is 2006545460051.

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, 187804724 + ... + 188602076.

It is an arithmetic number, because the mean of its divisors is an integer number (1153464256710).

Almost surely, 2^{150064545600200} is an apocalyptic number.

150064545600200 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 150064545600200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221465137288320).

150064545600200 is an abundant number, since it is smaller than the sum of its proper divisors (292865728976440).

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

150064545600200 is a wasteful number, since it uses less digits than its factorization.

150064545600200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797510 (or 797479 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 150064545600200 in words is "one hundred fifty trillion, sixty-four billion, five hundred forty-five million, six hundred thousand, two hundred".