4135375835136 has 1872 divisors, whose sum is σ = 16250498409600. Its totient is φ = 1021636509696.

The previous prime is 4135375835111. The next prime is 4135375835189. The reversal of 4135375835136 is 6315385735314.

4135375835136 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 3 + 7 + 583 + 51 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46464896980 + ... + 46464897068.

It is an arithmetic number, because the mean of its divisors is an integer number (8680821800).

Almost surely, 2^{4135375835136} 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 4135375835136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125249204800).

4135375835136 is an abundant number, since it is smaller than the sum of its proper divisors (12115122574464).

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

4135375835136 is an frugal number, since it uses more digits than its factorization.

4135375835136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 133 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 4135375835136 in words is "four trillion, one hundred thirty-five billion, three hundred seventy-five million, eight hundred thirty-five thousand, one hundred thirty-six".