1006135603200 has 3120 divisors, whose sum is σ = 4845121447936. Its totient is φ = 200658124800.

The previous prime is 1006135603177. The next prime is 1006135603223. The reversal of 1006135603200 is 23065316001.

1006135603200 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 35 + 603 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1006135603177) and next prime (1006135603223).

It is a tau number, because it is divible by the number of its divisors (3120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23398502379 + ... + 23398502421.

Almost surely, 2^{1006135603200} is an apocalyptic number.

1006135603200 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 1006135603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422560723968).

1006135603200 is an abundant number, since it is smaller than the sum of its proper divisors (3838985844736).

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

1006135603200 is a wasteful number, since it uses less digits than its factorization.

1006135603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 1006135603200 in words is "one trillion, six billion, one hundred thirty-five million, six hundred three thousand, two hundred".