135413160 has 128 divisors (see below), whose sum is σ = 440899200. Its totient is φ = 33136640.

The previous prime is 135413141. The next prime is 135413183. The reversal of 135413160 is 61314531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135413160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82831 + ... + 84449.

It is an arithmetic number, because the mean of its divisors is an integer number (3444525).

Almost surely, 2^135413160 is an apocalyptic number.

135413160 is a gapful number since it is divisible by the number (10) 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 135413160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220449600).

135413160 is an abundant number, since it is smaller than the sum of its proper divisors (305486040).

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

135413160 is a wasteful number, since it uses less digits than its factorization.

135413160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 135413160 is about 11636.7160315959. The cubic root of 135413160 is about 513.5155796747.

Adding to 135413160 its reverse (61314531), we get a palindrome (196727691).

The spelling of 135413160 in words is "one hundred thirty-five million, four hundred thirteen thousand, one hundred sixty".