135689089536 has 960 divisors, whose sum is σ = 549084856320. Its totient is φ = 31094046720.

The previous prime is 135689089517. The next prime is 135689089537. The reversal of 135689089536 is 635980986531.

135689089536 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 90 + 8 + 9 + 536 = 666.

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 (135689089537) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106089345 + ... + 106090623.

It is an arithmetic number, because the mean of its divisors is an integer number (571963392).

Almost surely, 2^135689089536 is an apocalyptic number.

135689089536 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 135689089536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274542428160).

135689089536 is an abundant number, since it is smaller than the sum of its proper divisors (413395766784).

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

135689089536 is a wasteful number, since it uses less digits than its factorization.

135689089536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 135689089536 in words is "one hundred thirty-five billion, six hundred eighty-nine million, eighty-nine thousand, five hundred thirty-six".