135311739011856 has 320 divisors, whose sum is σ = 442210919546880. Its totient is φ = 39213199872000.

The previous prime is 135311739011851. The next prime is 135311739011861. The reversal of 135311739011856 is 658110937113531.

135311739011856 is a `hidden beast` number, since 1 + 3 + 53 + 117 + 390 + 11 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (135311739011851) and next prime (135311739011861).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135311739011851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 577074961 + ... + 577309391.

It is an arithmetic number, because the mean of its divisors is an integer number (1381909123584).

Almost surely, 2^{135311739011856} is an apocalyptic number.

135311739011856 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 135311739011856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221105459773440).

135311739011856 is an abundant number, since it is smaller than the sum of its proper divisors (306899180535024).

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

135311739011856 is a wasteful number, since it uses less digits than its factorization.

135311739011856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239763 (or 239751 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 135311739011856 in words is "one hundred thirty-five trillion, three hundred eleven billion, seven hundred thirty-nine million, eleven thousand, eight hundred fifty-six".