135934309195776 has 1680 divisors, whose sum is σ = 512121123171504. Its totient is φ = 35612803989504.

The previous prime is 135934309195709. The next prime is 135934309195793. The reversal of 135934309195776 is 677591903439531.

135934309195776 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 3 + 4 + 30 + 9 + 19 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68897266726 + ... + 68897268698.

Almost surely, 2^{135934309195776} is an apocalyptic number.

135934309195776 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 135934309195776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256060561585752).

135934309195776 is an abundant number, since it is smaller than the sum of its proper divisors (376186813975728).

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

135934309195776 is a wasteful number, since it uses less digits than its factorization.

135934309195776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 578680200, while the sum is 72.

The spelling of 135934309195776 in words is "one hundred thirty-five trillion, nine hundred thirty-four billion, three hundred nine million, one hundred ninety-five thousand, seven hundred seventy-six".