191596378182138 has 128 divisors (see below), whose sum is σ = 437908449792000. Its totient is φ = 62059973000256.

The previous prime is 191596378182127. The next prime is 191596378182149. The reversal of 191596378182138 is 831281873695191.

It is a happy number.

191596378182138 is a `hidden beast` number, since 1 + 9 + 1 + 596 + 3 + 7 + 8 + 1 + 8 + 21 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (191596378182127) and next prime (191596378182149).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5894712795 + ... + 5894745297.

It is an arithmetic number, because the mean of its divisors is an integer number (3421159764000).

Almost surely, 2^{191596378182138} is an apocalyptic number.

191596378182138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 191596378182138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218954224896000).

191596378182138 is an abundant number, since it is smaller than the sum of its proper divisors (246312071609862).

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

191596378182138 is a wasteful number, since it uses less digits than its factorization.

191596378182138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45513 (or 45507 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 72.

The spelling of 191596378182138 in words is "one hundred ninety-one trillion, five hundred ninety-six billion, three hundred seventy-eight million, one hundred eighty-two thousand, one hundred thirty-eight".