135601678080 has 432 divisors, whose sum is σ = 528344893440. Its totient is φ = 31811788800.

The previous prime is 135601678067. The next prime is 135601678087. The reversal of 135601678080 is 80876106531.

135601678080 is a `hidden beast` number, since 1 + 3 + 560 + 1 + 6 + 7 + 8 + 0 + 80 = 666.

It is a super-4 number, since 4×135601678080⁴ (a number of 46 digits) contains 4444 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135601678087) by changing a digit.

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, 3911061 + ... + 3945579.

Almost surely, 2^135601678080 is an apocalyptic number.

135601678080 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 135601678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264172446720).

135601678080 is an abundant number, since it is smaller than the sum of its proper divisors (392743215360).

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

135601678080 is a wasteful number, since it uses less digits than its factorization.

135601678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34588 (or 34571 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 135601678080 in words is "one hundred thirty-five billion, six hundred one million, six hundred seventy-eight thousand, eighty".