135438665902848 has 1728 divisors, whose sum is σ = 520177893580800. Its totient is φ = 32829580247040.

The previous prime is 135438665902823. The next prime is 135438665902849. The reversal of 135438665902848 is 848209566834531.

135438665902848 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 3 + 8 + 6 + 6 + 590 + 28 + 4 + 8 = 666.

It is a super-2 number, since 2×135438665902848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (135438665902849) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161428683613 + ... + 161428684451.

It is an arithmetic number, because the mean of its divisors is an integer number (301028873600).

Almost surely, 2^{135438665902848} is an apocalyptic number.

135438665902848 is a gapful number since it is divisible by the number (18) 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 135438665902848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260088946790400).

135438665902848 is an abundant number, since it is smaller than the sum of its proper divisors (384739227677952).

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

135438665902848 is a wasteful number, since it uses less digits than its factorization.

135438665902848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 135438665902848 in words is "one hundred thirty-five trillion, four hundred thirty-eight billion, six hundred sixty-five million, nine hundred two thousand, eight hundred forty-eight".