135711431856 has 800 divisors, whose sum is σ = 531357657600. Its totient is φ = 32485639680.

The previous prime is 135711431839. The next prime is 135711431893. The reversal of 135711431856 is 658134117531.

135711431856 is a `hidden beast` number, since 1 + 3 + 571 + 14 + 3 + 18 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 219242715 + ... + 219243333.

It is an arithmetic number, because the mean of its divisors is an integer number (664197072).

Almost surely, 2^135711431856 is an apocalyptic number.

135711431856 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 135711431856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265678828800).

135711431856 is an abundant number, since it is smaller than the sum of its proper divisors (395646225744).

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

135711431856 is a wasteful number, since it uses less digits than its factorization.

135711431856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 655 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 135711431856 in words is "one hundred thirty-five billion, seven hundred eleven million, four hundred thirty-one thousand, eight hundred fifty-six".