135078322901760 has 864 divisors, whose sum is σ = 544445293392000. Its totient is φ = 30278843891712.

The previous prime is 135078322901749. The next prime is 135078322901783. The reversal of 135078322901760 is 67109223870531.

135078322901760 is a `hidden beast` number, since 1 + 3 + 507 + 8 + 32 + 2 + 90 + 17 + 6 + 0 = 666.

It is a super-3 number, since 3×135078322901760³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 135078322901697 and 135078322901706.

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 95 ways as a sum of consecutive naturals, for example, 11749000332 + ... + 11749011828.

It is an arithmetic number, because the mean of its divisors is an integer number (630145015500).

Almost surely, 2^{135078322901760} is an apocalyptic number.

135078322901760 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 135078322901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272222646696000).

135078322901760 is an abundant number, since it is smaller than the sum of its proper divisors (409366970490240).

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

135078322901760 is a wasteful number, since it uses less digits than its factorization.

135078322901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14333 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 135078322901760 in words is "one hundred thirty-five trillion, seventy-eight billion, three hundred twenty-two million, nine hundred one thousand, seven hundred sixty".