135346116024 has 160 divisors (see below), whose sum is σ = 433620633600. Its totient is φ = 38637311040.

The previous prime is 135346116011. The next prime is 135346116047. The reversal of 135346116024 is 420611643531.

135346116024 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 46 + 1 + 1 + 602 + 4 = 666.

It is a super-2 number, since 2×135346116024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135346116024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5571697 + ... + 5595935.

It is an arithmetic number, because the mean of its divisors is an integer number (2710128960).

Almost surely, 2^135346116024 is an apocalyptic number.

135346116024 is a gapful number since it is divisible by the number (14) 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 135346116024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216810316800).

135346116024 is an abundant number, since it is smaller than the sum of its proper divisors (298274517576).

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

135346116024 is a wasteful number, since it uses less digits than its factorization.

135346116024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25495 (or 25482 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 135346116024 its reverse (420611643531), we get a palindrome (555957759555).

The spelling of 135346116024 in words is "one hundred thirty-five billion, three hundred forty-six million, one hundred sixteen thousand, twenty-four".