135652357288560 has 640 divisors, whose sum is σ = 487718384025600. Its totient is φ = 30550261506048.

The previous prime is 135652357288541. The next prime is 135652357288601. The reversal of 135652357288560 is 65882753256531.

It is a happy number.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135652357288491 and 135652357288500.

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, 64627134391 + ... + 64627136489.

It is an arithmetic number, because the mean of its divisors is an integer number (762059975040).

Almost surely, 2^{135652357288560} is an apocalyptic number.

135652357288560 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 135652357288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243859192012800).

135652357288560 is an abundant number, since it is smaller than the sum of its proper divisors (352066026737040).

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

135652357288560 is a wasteful number, since it uses less digits than its factorization.

135652357288560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 362880000, while the sum is 66.

The spelling of 135652357288560 in words is "one hundred thirty-five trillion, six hundred fifty-two billion, three hundred fifty-seven million, two hundred eighty-eight thousand, five hundred sixty".