193051835136 has 144 divisors (see below), whose sum is σ = 571805893120. Its totient is φ = 64247178240.

The previous prime is 193051835089. The next prime is 193051835147. The reversal of 193051835136 is 631538150391.

193051835136 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 51 + 83 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×193051835136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 193051835091 and 193051835100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4339341 + ... + 4383603.

Almost surely, 2^193051835136 is an apocalyptic number.

193051835136 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 193051835136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285902946560).

193051835136 is an abundant number, since it is smaller than the sum of its proper divisors (378754057984).

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

193051835136 is an equidigital number, since it uses as much as digits as its factorization.

193051835136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44919 (or 44899 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 193051835136 in words is "one hundred ninety-three billion, fifty-one million, eight hundred thirty-five thousand, one hundred thirty-six".