135413460 has 216 divisors, whose sum is σ = 515006856. Its totient is φ = 28546560.

The previous prime is 135413459. The next prime is 135413471. The reversal of 135413460 is 64314531.

It can be written as a sum of positive squares in 4 ways, for example, as 17994564 + 117418896 = 4242^2 + 10836^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114070 + ... + 115250.

It is an arithmetic number, because the mean of its divisors is an integer number (2384291).

Almost surely, 2^135413460 is an apocalyptic number.

135413460 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 135413460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257503428).

135413460 is an abundant number, since it is smaller than the sum of its proper divisors (379593396).

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

135413460 is a wasteful number, since it uses less digits than its factorization.

135413460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135413460 is about 11636.7289218233. The cubic root of 135413460 is about 513.5159588958.

Adding to 135413460 its reverse (64314531), we get a palindrome (199727991).

It can be divided in two parts, 135 and 413460, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 135413460 in words is "one hundred thirty-five million, four hundred thirteen thousand, four hundred sixty".