135349608862080 has 384 divisors, whose sum is σ = 493114399596000. Its totient is φ = 34114604433408.

The previous prime is 135349608862079. The next prime is 135349608862147. The reversal of 135349608862080 is 80268806943531.

It is a happy number.

135349608862080 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 496 + 0 + 8 + 8 + 62 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 135349608861999 and 135349608862017.

It is a congruent number.

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, 45959406 + ... + 48815634.

Almost surely, 2^{135349608862080} is an apocalyptic number.

135349608862080 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 135349608862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246557199798000).

135349608862080 is an abundant number, since it is smaller than the sum of its proper divisors (357764790733920).

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

135349608862080 is a wasteful number, since it uses less digits than its factorization.

135349608862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856706 (or 2856691 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 135349608862080 in words is "one hundred thirty-five trillion, three hundred forty-nine billion, six hundred eight million, eight hundred sixty-two thousand, eighty".