135918639360 has 576 divisors, whose sum is σ = 583668288000. Its totient is φ = 29238755328.

The previous prime is 135918639359. The next prime is 135918639391. The reversal of 135918639360 is 63936819531.

135918639360 is a `hidden beast` number, since 1 + 35 + 91 + 86 + 393 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 135918639297 and 135918639306.

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 63 ways as a sum of consecutive naturals, for example, 4096116 + ... + 4129164.

It is an arithmetic number, because the mean of its divisors is an integer number (1013313000).

Almost surely, 2^135918639360 is an apocalyptic number.

135918639360 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 135918639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291834144000).

135918639360 is an abundant number, since it is smaller than the sum of its proper divisors (447749648640).

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

135918639360 is a wasteful number, since it uses less digits than its factorization.

135918639360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33103 (or 33083 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 135918639360 in words is "one hundred thirty-five billion, nine hundred eighteen million, six hundred thirty-nine thousand, three hundred sixty".