135645609060 has 216 divisors, whose sum is σ = 449497909224. Its totient is φ = 33093365760.

The previous prime is 135645609053. The next prime is 135645609103. The reversal of 135645609060 is 60906546531.

135645609060 is a `hidden beast` number, since 1 + 3 + 56 + 456 + 0 + 90 + 60 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 124539821604 + 11105787456 = 352902^2 + 105384^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 135645608997 and 135645609015.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3417730 + ... + 3457190.

It is an arithmetic number, because the mean of its divisors is an integer number (2081008839).

Almost surely, 2^135645609060 is an apocalyptic number.

135645609060 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 135645609060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224748954612).

135645609060 is an abundant number, since it is smaller than the sum of its proper divisors (313852300164).

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

135645609060 is a wasteful number, since it uses less digits than its factorization.

135645609060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39615 (or 39597 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 135645609060 in words is "one hundred thirty-five billion, six hundred forty-five million, six hundred nine thousand, sixty".