135414035756168 has 64 divisors (see below), whose sum is σ = 273898929822000. Its totient is φ = 62392110796800.

The previous prime is 135414035756159. The next prime is 135414035756179. The reversal of 135414035756168 is 861657530414531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 66206244905284 + 69207790850884 = 8136722^2 + 8319122^2 .

It is a super-2 number, since 2×135414035756168² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2783466308 + ... + 2783514956.

Almost surely, 2^{135414035756168} is an apocalyptic number.

It is an amenable number.

135414035756168 is an abundant number, since it is smaller than the sum of its proper divisors (138484894065832).

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

135414035756168 is a wasteful number, since it uses less digits than its factorization.

135414035756168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93802 (or 93798 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 59.

The spelling of 135414035756168 in words is "one hundred thirty-five trillion, four hundred fourteen billion, thirty-five million, seven hundred fifty-six thousand, one hundred sixty-eight".