135686652571008 has 1536 divisors, whose sum is σ = 517708141632000. Its totient is φ = 34588444262400.

The previous prime is 135686652570983. The next prime is 135686652571013. The reversal of 135686652571008 is 800175256686531.

135686652571008 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 6 + 6 + 52 + 571 + 0 + 0 + 8 = 666.

It is a super-3 number, since 3×135686652571008³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28692459588 + ... + 28692464316.

It is an arithmetic number, because the mean of its divisors is an integer number (337049571375).

Almost surely, 2^{135686652571008} is an apocalyptic number.

135686652571008 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 135686652571008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258854070816000).

135686652571008 is an abundant number, since it is smaller than the sum of its proper divisors (382021489060992).

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

135686652571008 is a wasteful number, since it uses less digits than its factorization.

135686652571008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 135686652571008 in words is "one hundred thirty-five trillion, six hundred eighty-six billion, six hundred fifty-two million, five hundred seventy-one thousand, eight".