135840167424 has 800 divisors, whose sum is σ = 467899740000. Its totient is φ = 38889455616.

The previous prime is 135840167417. The next prime is 135840167447. The reversal of 135840167424 is 424761048531.

135840167424 = T₁₀₇ + T₁₀₈ + ... + T₉₃₄₀.

135840167424 is a `hidden beast` number, since 1 + 3 + 584 + 0 + 1 + 67 + 4 + 2 + 4 = 666.

135840167424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135840167424.

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, 911678902 + ... + 911679050.

It is an arithmetic number, because the mean of its divisors is an integer number (584874675).

Almost surely, 2^135840167424 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 135840167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233949870000).

135840167424 is an abundant number, since it is smaller than the sum of its proper divisors (332059572576).

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

135840167424 is a wasteful number, since it uses less digits than its factorization.

135840167424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 135840167424 in words is "one hundred thirty-five billion, eight hundred forty million, one hundred sixty-seven thousand, four hundred twenty-four".