135102578688 has 720 divisors, whose sum is σ = 496280069376. Its totient is φ = 34398535680.

The previous prime is 135102578683. The next prime is 135102578711. The reversal of 135102578688 is 886875201531.

135102578688 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 2 + 578 + 68 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135102578683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828850095 + ... + 828850257.

Almost surely, 2^135102578688 is an apocalyptic number.

135102578688 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 135102578688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248140034688).

135102578688 is an abundant number, since it is smaller than the sum of its proper divisors (361177490688).

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

135102578688 is a wasteful number, since it uses less digits than its factorization.

135102578688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 135102578688 in words is "one hundred thirty-five billion, one hundred two million, five hundred seventy-eight thousand, six hundred eighty-eight".