135310560 has 288 divisors, whose sum is σ = 541924992. Its totient is φ = 28062720.

The previous prime is 135310559. The next prime is 135310561. The reversal of 135310560 is 65013531.

It is an interprime number because it is at equal distance from previous prime (135310559) and next prime (135310561).

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 135310560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135310561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258459 + ... + 258981.

It is an arithmetic number, because the mean of its divisors is an integer number (1881684).

Almost surely, 2^135310560 is an apocalyptic number.

135310560 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 135310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270962496).

135310560 is an abundant number, since it is smaller than the sum of its proper divisors (406614432).

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

135310560 is a wasteful number, since it uses less digits than its factorization.

135310560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 135310560 is about 11632.3067359832. The cubic root of 135310560 is about 513.3858532123.

The spelling of 135310560 in words is "one hundred thirty-five million, three hundred ten thousand, five hundred sixty".