135860689536 has 384 divisors, whose sum is σ = 438800409600. Its totient is φ = 36969799680.

The previous prime is 135860689513. The next prime is 135860689583. The reversal of 135860689536 is 635986068531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×135860689536² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135860689536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22346145 + ... + 22352223.

It is an arithmetic number, because the mean of its divisors is an integer number (1142709400).

Almost surely, 2^135860689536 is an apocalyptic number.

135860689536 is a gapful number since it is divisible by the number (16) 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 135860689536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219400204800).

135860689536 is an abundant number, since it is smaller than the sum of its proper divisors (302939720064).

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

135860689536 is a wasteful number, since it uses less digits than its factorization.

135860689536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6145 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 135860689536 in words is "one hundred thirty-five billion, eight hundred sixty million, six hundred eighty-nine thousand, five hundred thirty-six".