135071657056 has 96 divisors (see below), whose sum is σ = 308777313600. Its totient is φ = 56964612096.

The previous prime is 135071657003. The next prime is 135071657057. The reversal of 135071657056 is 650756170531.

It is a junction number, because it is equal to n+sod(n) for n = 135071656997 and 135071657015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135071657057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7332850 + ... + 7351246.

It is an arithmetic number, because the mean of its divisors is an integer number (3216430350).

Almost surely, 2^135071657056 is an apocalyptic number.

135071657056 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 135071657056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154388656800).

135071657056 is an abundant number, since it is smaller than the sum of its proper divisors (173705656544).

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

135071657056 is a wasteful number, since it uses less digits than its factorization.

135071657056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18936 (or 18928 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 46.

It can be divided in two parts, 1350 and 71657056, that added together give a triangular number (71658406 = T₁₁₉₇₁).

The spelling of 135071657056 in words is "one hundred thirty-five billion, seventy-one million, six hundred fifty-seven thousand, fifty-six".