135456578334 has 180 divisors, whose sum is σ = 376353698448. Its totient is φ = 35182168560.

The previous prime is 135456578317. The next prime is 135456578347. The reversal of 135456578334 is 433875654531.

135456578334 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 565 + 78 + 3 + 3 + 4 = 666.

135456578334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135456578334² (a number of 23 digits) contains 22 as substring.

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 89 ways as a sum of consecutive naturals, for example, 5216427 + ... + 5242329.

Almost surely, 2^135456578334 is an apocalyptic number.

135456578334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135456578334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188176849224).

135456578334 is an abundant number, since it is smaller than the sum of its proper divisors (240897120114).

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

135456578334 is a wasteful number, since it uses less digits than its factorization.

135456578334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25961 (or 25926 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 135456578334 in words is "one hundred thirty-five billion, four hundred fifty-six million, five hundred seventy-eight thousand, three hundred thirty-four".