135740887046856 has 384 divisors, whose sum is σ = 467817438816000. Its totient is φ = 34598449797120.

The previous prime is 135740887046777. The next prime is 135740887046929. The reversal of 135740887046856 is 658640788047531.

135740887046856 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 40 + 8 + 8 + 70 + 468 + 56 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34242211 + ... + 38000141.

It is an arithmetic number, because the mean of its divisors is an integer number (1218274580250).

Almost surely, 2^{135740887046856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135740887046856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233908719408000).

135740887046856 is an abundant number, since it is smaller than the sum of its proper divisors (332076551769144).

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

135740887046856 is a wasteful number, since it uses less digits than its factorization.

135740887046856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758149 (or 3758142 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 135740887046856 in words is "one hundred thirty-five trillion, seven hundred forty billion, eight hundred eighty-seven million, forty-six thousand, eight hundred fifty-six".