135094691358720 has 1536 divisors, whose sum is σ = 504144132710400. Its totient is φ = 34282578640896.

The previous prime is 135094691358691. The next prime is 135094691358733. The reversal of 135094691358720 is 27853196490531.

135094691358720 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 9 + 46 + 9 + 1 + 3 + 587 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 90850497817 + ... + 90850499303.

It is an arithmetic number, because the mean of its divisors is an integer number (328218836400).

It is a 1-persistent number, because it is pandigital, but 2⋅135094691358720 = 270189382717440 is not.

Almost surely, 2^{135094691358720} is an apocalyptic number.

135094691358720 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 135094691358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252072066355200).

135094691358720 is an abundant number, since it is smaller than the sum of its proper divisors (369049441351680).

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

135094691358720 is a wasteful number, since it uses less digits than its factorization.

135094691358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 135094691358720 in words is "one hundred thirty-five trillion, ninety-four billion, six hundred ninety-one million, three hundred fifty-eight thousand, seven hundred twenty".