135717075083520 has 432 divisors, whose sum is σ = 537353365191552. Its totient is φ = 30980268195840.

The previous prime is 135717075083453. The next prime is 135717075083543. The reversal of 135717075083520 is 25380570717531.

It is a happy number.

135717075083520 is a `hidden beast` number, since 1 + 3 + 57 + 17 + 0 + 7 + 50 + 8 + 3 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60261259 + ... + 62472821.

It is an arithmetic number, because the mean of its divisors is an integer number (1243873530536).

Almost surely, 2^{135717075083520} is an apocalyptic number.

135717075083520 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 135717075083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268676682595776).

135717075083520 is an abundant number, since it is smaller than the sum of its proper divisors (401636290108032).

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

135717075083520 is a wasteful number, since it uses less digits than its factorization.

135717075083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212358 (or 2212341 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 54.

The spelling of 135717075083520 in words is "one hundred thirty-five trillion, seven hundred seventeen billion, seventy-five million, eighty-three thousand, five hundred twenty".