1006600134150 has 240 divisors, whose sum is σ = 3050139153600. Its totient is φ = 244641047040.

The previous prime is 1006600134143. The next prime is 1006600134167. The reversal of 1006600134150 is 514310066001.

1006600134150 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 600 + 1 + 3 + 4 + 1 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4038346 + ... + 4280354.

It is an arithmetic number, because the mean of its divisors is an integer number (12708913140).

Almost surely, 2^{1006600134150} is an apocalyptic number.

1006600134150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006600134150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525069576800).

1006600134150 is an abundant number, since it is smaller than the sum of its proper divisors (2043539019450).

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

1006600134150 is a wasteful number, since it uses less digits than its factorization.

1006600134150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242125 (or 242111 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1006600134150 in words is "one trillion, six billion, six hundred million, one hundred thirty-four thousand, one hundred fifty".