135566703717120 has 5184 divisors, whose sum is σ = 603176804496000. Its totient is φ = 28679941914624.

The previous prime is 135566703717083. The next prime is 135566703717121. The reversal of 135566703717120 is 21717307665531.

135566703717120 is a `hidden beast` number, since 1 + 3 + 5 + 566 + 7 + 0 + 3 + 7 + 1 + 71 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135566703717121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1523221390036 + ... + 1523221390124.

It is an arithmetic number, because the mean of its divisors is an integer number (116353550250).

Almost surely, 2^{135566703717120} is an apocalyptic number.

135566703717120 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 135566703717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301588402248000).

135566703717120 is an abundant number, since it is smaller than the sum of its proper divisors (467610100778880).

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

135566703717120 is a wasteful number, since it uses less digits than its factorization.

135566703717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 135566703717120 in words is "one hundred thirty-five trillion, five hundred sixty-six billion, seven hundred three million, seven hundred seventeen thousand, one hundred twenty".