135688521511680 has 288 divisors, whose sum is σ = 433912702519296. Its totient is φ = 36137084731392.

The previous prime is 135688521511649. The next prime is 135688521511727. The reversal of 135688521511680 is 86115125886531.

It is a happy number.

It is a super-3 number, since 3×135688521511680³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16361809614 + ... + 16361817906.

It is an arithmetic number, because the mean of its divisors is an integer number (1506641328192).

Almost surely, 2^{135688521511680} is an apocalyptic number.

135688521511680 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 135688521511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216956351259648).

135688521511680 is an abundant number, since it is smaller than the sum of its proper divisors (298224181007616).

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

135688521511680 is a wasteful number, since it uses less digits than its factorization.

135688521511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13283 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 60.

The spelling of 135688521511680 in words is "one hundred thirty-five trillion, six hundred eighty-eight billion, five hundred twenty-one million, five hundred eleven thousand, six hundred eighty".