135860480 has 144 divisors (see below), whose sum is σ = 379693440. Its totient is φ = 45613056.

The previous prime is 135860479. The next prime is 135860513. The reversal of 135860480 is 84068531.

135860480 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 135860480.

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, 528512 + ... + 528768.

It is an arithmetic number, because the mean of its divisors is an integer number (2636760).

Almost surely, 2^135860480 is an apocalyptic number.

135860480 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 135860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189846720).

135860480 is an abundant number, since it is smaller than the sum of its proper divisors (243832960).

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

135860480 is an equidigital number, since it uses as much as digits as its factorization.

135860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 135860480 is about 11655.9203840795. The cubic root of 135860480 is about 514.0804024678.

The spelling of 135860480 in words is "one hundred thirty-five million, eight hundred sixty thousand, four hundred eighty".