1083805082136 has 960 divisors, whose sum is σ = 3900170736000. Its totient is φ = 279275351040.

The previous prime is 1083805082123. The next prime is 1083805082149. The reversal of 1083805082136 is 6312805083801.

1083805082136 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 8 + 0 + 508 + 2 + 136 = 666.

It is an interprime number because it is at equal distance from previous prime (1083805082123) and next prime (1083805082149).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1083805082091 and 1083805082100.

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 239 ways as a sum of consecutive naturals, for example, 1063596235 + ... + 1063597253.

It is an arithmetic number, because the mean of its divisors is an integer number (4062677850).

Almost surely, 2^{1083805082136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083805082136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950085368000).

1083805082136 is an abundant number, since it is smaller than the sum of its proper divisors (2816365653864).

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

1083805082136 is a wasteful number, since it uses less digits than its factorization.

1083805082136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1083805082136 in words is "one trillion, eighty-three billion, eight hundred five million, eighty-two thousand, one hundred thirty-six".