135445685760 has 1600 divisors, whose sum is σ = 641691072000. Its totient is φ = 26435911680.

The previous prime is 135445685759. The next prime is 135445685761. The reversal of 135445685760 is 67586544531.

It is a happy number.

135445685760 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 4 + 5 + 68 + 576 + 0 = 666.

135445685760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135445685759) and next prime (135445685761).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 135445685697 and 135445685706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135445685761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 271433991 + ... + 271434489.

It is an arithmetic number, because the mean of its divisors is an integer number (401056920).

Almost surely, 2^135445685760 is an apocalyptic number.

135445685760 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 135445685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320845536000).

135445685760 is an abundant number, since it is smaller than the sum of its proper divisors (506245386240).

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

135445685760 is a wasteful number, since it uses less digits than its factorization.

135445685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 135445685760 in words is "one hundred thirty-five billion, four hundred forty-five million, six hundred eighty-five thousand, seven hundred sixty".