135873581760 has 336 divisors, whose sum is σ = 557591793120. Its totient is φ = 31056721920.

The previous prime is 135873581707. The next prime is 135873581843. The reversal of 135873581760 is 67185378531.

135873581760 is a `hidden beast` number, since 1 + 3 + 58 + 7 + 3 + 581 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 135873581697 and 135873581706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262890 + ... + 583830.

Almost surely, 2^135873581760 is an apocalyptic number.

135873581760 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 135873581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278795896560).

135873581760 is an abundant number, since it is smaller than the sum of its proper divisors (421718211360).

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

135873581760 is a wasteful number, since it uses less digits than its factorization.

135873581760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320981 (or 320958 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 135873581760 in words is "one hundred thirty-five billion, eight hundred seventy-three million, five hundred eighty-one thousand, seven hundred sixty".