135716611968 has 256 divisors, whose sum is σ = 463432512000. Its totient is φ = 38775614976.

The previous prime is 135716611939. The next prime is 135716611999. The reversal of 135716611968 is 869116617531.

135716611968 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 16 + 611 + 9 + 6 + 8 = 666.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1924923 + ... + 1994181.

It is an arithmetic number, because the mean of its divisors is an integer number (1810283250).

Almost surely, 2^135716611968 is an apocalyptic number.

135716611968 is a gapful number since it is divisible by the number (18) 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 135716611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231716256000).

135716611968 is an abundant number, since it is smaller than the sum of its proper divisors (327715900032).

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

135716611968 is an frugal number, since it uses more digits than its factorization.

135716611968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69301 (or 69271 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The spelling of 135716611968 in words is "one hundred thirty-five billion, seven hundred sixteen million, six hundred eleven thousand, nine hundred sixty-eight".