135265607267070 has 256 divisors, whose sum is σ = 380368043016192. Its totient is φ = 30145720051200.

The previous prime is 135265607267057. The next prime is 135265607267083. The reversal of 135265607267070 is 70762706562531.

It is an interprime number because it is at equal distance from previous prime (135265607267057) and next prime (135265607267083).

It is a self number, because there is not a number n which added to its sum of digits gives 135265607267070.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13849243327 + ... + 13849253093.

It is an arithmetic number, because the mean of its divisors is an integer number (1485812668032).

Almost surely, 2^{135265607267070} is an apocalyptic number.

135265607267070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135265607267070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190184021508096).

135265607267070 is an abundant number, since it is smaller than the sum of its proper divisors (245102435749122).

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

135265607267070 is a wasteful number, since it uses less digits than its factorization.

135265607267070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17455.

The product of its (nonzero) digits is 22226400, while the sum is 57.

The spelling of 135265607267070 in words is "one hundred thirty-five trillion, two hundred sixty-five billion, six hundred seven million, two hundred sixty-seven thousand, seventy".