135871468348824 has 560 divisors, whose sum is σ = 431587430473800. Its totient is φ = 39606257980224.

The previous prime is 135871468348787. The next prime is 135871468348909. The reversal of 135871468348824 is 428843864178531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

135871468348824 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 7 + 1 + 46 + 83 + 488 + 24 = 666.

It is a super-2 number, since 2×135871468348824² (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 a taxicab number since it can be written as a sum of two cubes in more than one way. Here 135871468348824 = 6422³ + 51376³ = 28899³ + 48165³.

It is a congruent number.

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 139 ways as a sum of consecutive naturals, for example, 7151129913087 + ... + 7151129913105.

Almost surely, 2^{135871468348824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135871468348824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215793715236900).

135871468348824 is an abundant number, since it is smaller than the sum of its proper divisors (295715962124976).

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

135871468348824 is an frugal number, since it uses more digits than its factorization.

135871468348824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 37 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 135871468348824 in words is "one hundred thirty-five trillion, eight hundred seventy-one billion, four hundred sixty-eight million, three hundred forty-eight thousand, eight hundred twenty-four".