13852174193136 has 120 divisors (see below), whose sum is σ = 39166202927280. Its totient is φ = 4569861888000.

The previous prime is 13852174193129. The next prime is 13852174193153. The reversal of 13852174193136 is 63139147125831.

13852174193136 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 217 + 419 + 3 + 1 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36739656 + ... + 37114776.

It is an arithmetic number, because the mean of its divisors is an integer number (326385024394).

Almost surely, 2^{13852174193136} is an apocalyptic number.

13852174193136 is a gapful number since it is divisible by the number (16) 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 13852174193136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19583101463640).

13852174193136 is an abundant number, since it is smaller than the sum of its proper divisors (25314028734144).

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

13852174193136 is a wasteful number, since it uses less digits than its factorization.

13852174193136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377775 (or 377766 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 13852174193136 in words is "thirteen trillion, eight hundred fifty-two billion, one hundred seventy-four million, one hundred ninety-three thousand, one hundred thirty-six".