84053105136 has 1120 divisors, whose sum is σ = 343180035072. Its totient is φ = 19214807040.

The previous prime is 84053105131. The next prime is 84053105153. The reversal of 84053105136 is 63150135048.

84053105136 is a `hidden beast` number, since 8 + 40 + 531 + 0 + 51 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84053105136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84053105131) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 268540116 + ... + 268540428.

Almost surely, 2^84053105136 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 84053105136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171590017536).

84053105136 is an abundant number, since it is smaller than the sum of its proper divisors (259126929936).

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

84053105136 is a wasteful number, since it uses less digits than its factorization.

84053105136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 84053105136 in words is "eighty-four billion, fifty-three million, one hundred five thousand, one hundred thirty-six".