135215040 has 112 divisors (see below), whose sum is σ = 436534560. Its totient is φ = 35450880.

The previous prime is 135215033. The next prime is 135215083. The reversal of 135215040 is 40512531.

It is a junction number, because it is equal to n+sod(n) for n = 135214998 and 135215016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57406 + ... + 59714.

It is an arithmetic number, because the mean of its divisors is an integer number (3897630).

Almost surely, 2^135215040 is an apocalyptic number.

135215040 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 135215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218267280).

135215040 is an abundant number, since it is smaller than the sum of its proper divisors (301319520).

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

135215040 is a wasteful number, since it uses less digits than its factorization.

135215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 135215040 is about 11628.2002046748. The cubic root of 135215040 is about 513.2650196756.

Adding to 135215040 its reverse (40512531), we get a palindrome (175727571).

It can be divided in two parts, 1352150 and 40, that added together give a triangular number (1352190 = T₁₆₄₄).

The spelling of 135215040 in words is "one hundred thirty-five million, two hundred fifteen thousand, forty".