135918401760 has 480 divisors, whose sum is σ = 497977048800. Its totient is φ = 34871316480.

The previous prime is 135918401747. The next prime is 135918401797. The reversal of 135918401760 is 67104819531.

135918401760 is a `hidden beast` number, since 1 + 3 + 591 + 8 + 40 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 158228211 + ... + 158229069.

It is an arithmetic number, because the mean of its divisors is an integer number (1037452185).

Almost surely, 2^135918401760 is an apocalyptic number.

135918401760 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 135918401760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248988524400).

135918401760 is an abundant number, since it is smaller than the sum of its proper divisors (362058647040).

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

135918401760 is a wasteful number, since it uses less digits than its factorization.

135918401760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 135918401760 in words is "one hundred thirty-five billion, nine hundred eighteen million, four hundred one thousand, seven hundred sixty".