135700660170240 has 1280 divisors, whose sum is σ = 528145905070080. Its totient is φ = 29294741422080.

The previous prime is 135700660170239. The next prime is 135700660170269. The reversal of 135700660170240 is 42071066007531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a junction number, because it is equal to n+sod(n) for n = 135700660170192 and 135700660170201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24749342539 + ... + 24749348021.

It is an arithmetic number, because the mean of its divisors is an integer number (412613988336).

Almost surely, 2^{135700660170240} is an apocalyptic number.

135700660170240 is a gapful number since it is divisible by the number (10) 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 135700660170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264072952535040).

135700660170240 is an abundant number, since it is smaller than the sum of its proper divisors (392445244899840).

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

135700660170240 is a wasteful number, since it uses less digits than its factorization.

135700660170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6463 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 135700660170240 in words is "one hundred thirty-five trillion, seven hundred billion, six hundred sixty million, one hundred seventy thousand, two hundred forty".