135569645568 has 896 divisors, whose sum is σ = 495233187840. Its totient is φ = 36261789696.

The previous prime is 135569645567. The next prime is 135569645611. The reversal of 135569645568 is 865546965531.

It is a happy number.

135569645568 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 6 + 9 + 64 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (135569645567) 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, 2884460521 + ... + 2884460567.

Almost surely, 2^135569645568 is an apocalyptic number.

135569645568 is a gapful number since it is divisible by the number (18) 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 135569645568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247616593920).

135569645568 is an abundant number, since it is smaller than the sum of its proper divisors (359663542272).

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

135569645568 is an frugal number, since it uses more digits than its factorization.

135569645568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 63.

The spelling of 135569645568 in words is "one hundred thirty-five billion, five hundred sixty-nine million, six hundred forty-five thousand, five hundred sixty-eight".