2006145073152 has 512 divisors, whose sum is σ = 6535464768000. Its totient is φ = 603142225920.

The previous prime is 2006145073133. The next prime is 2006145073201. The reversal of 2006145073152 is 2513705416002.

2006145073152 is a `hidden beast` number, since 2 + 0 + 0 + 614 + 5 + 0 + 7 + 31 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1352760603 + ... + 1352762085.

It is an arithmetic number, because the mean of its divisors is an integer number (12764579625).

Almost surely, 2^{2006145073152} is an apocalyptic number.

2006145073152 is a gapful number since it is divisible by the number (22) 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 2006145073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267732384000).

2006145073152 is an abundant number, since it is smaller than the sum of its proper divisors (4529319694848).

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

2006145073152 is a wasteful number, since it uses less digits than its factorization.

2006145073152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 2006145073152 in words is "two trillion, six billion, one hundred forty-five million, seventy-three thousand, one hundred fifty-two".