135413340 has 96 divisors (see below), whose sum is σ = 392718144. Its totient is φ = 34836480.

The previous prime is 135413339. The next prime is 135413353. The reversal of 135413340 is 43314531.

Added to its reverse (43314531) it gives a triangular number (178727871 = T₁₈₉₀₆).

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135413340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401652 + ... + 401988.

It is an arithmetic number, because the mean of its divisors is an integer number (4090814).

Almost surely, 2^135413340 is an apocalyptic number.

135413340 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 135413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196359072).

135413340 is an abundant number, since it is smaller than the sum of its proper divisors (257304804).

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

135413340 is a wasteful number, since it uses less digits than its factorization.

135413340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135413340 is about 11636.7237657341. The cubic root of 135413340 is about 513.5158072074.

Adding to 135413340 its reverse (43314531), we get a palindrome (178727871).

It can be divided in two parts, 135 and 413340, that multiplied together give a square (55800900 = 7470²).

The spelling of 135413340 in words is "one hundred thirty-five million, four hundred thirteen thousand, three hundred forty".