3821130135144 has 576 divisors, whose sum is σ = 13102824384000. Its totient is φ = 999249592320.

The previous prime is 3821130135127. The next prime is 3821130135149. The reversal of 3821130135144 is 4415310311283.

3821130135144 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 130 + 1 + 3 + 514 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3821130135099 and 3821130135108.

It is not an unprimeable number, because it can be changed into a prime (3821130135149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1681094392 + ... + 1681096664.

It is an arithmetic number, because the mean of its divisors is an integer number (22747959000).

Almost surely, 2^{3821130135144} 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 3821130135144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551412192000).

3821130135144 is an abundant number, since it is smaller than the sum of its proper divisors (9281694248856).

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

3821130135144 is a wasteful number, since it uses less digits than its factorization.

3821130135144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3821130135144 in words is "three trillion, eight hundred twenty-one billion, one hundred thirty million, one hundred thirty-five thousand, one hundred forty-four".