135810360 has 144 divisors (see below), whose sum is σ = 513513000. Its totient is φ = 31038336.

The previous prime is 135810317. The next prime is 135810397. The reversal of 135810360 is 63018531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13791 + ... + 21489.

Almost surely, 2^135810360 is an apocalyptic number.

135810360 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 135810360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256756500).

135810360 is an abundant number, since it is smaller than the sum of its proper divisors (377702640).

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

135810360 is a wasteful number, since it uses less digits than its factorization.

135810360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135810360 is about 11653.7702053885. The cubic root of 135810360 is about 514.0171785908.

Adding to 135810360 its reverse (63018531), we get a palindrome (198828891).

The spelling of 135810360 in words is "one hundred thirty-five million, eight hundred ten thousand, three hundred sixty".