135015540 has 96 divisors (see below), whose sum is σ = 425779200. Its totient is φ = 31670400.

The previous prime is 135015533. The next prime is 135015599. The reversal of 135015540 is 45510531.

It is a self number, because there is not a number n which added to its sum of digits gives 135015540.

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, 17161 + ... + 23759.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2^135015540 is an apocalyptic number.

135015540 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 135015540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

135015540 is an abundant number, since it is smaller than the sum of its proper divisors (290763660).

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

135015540 is a wasteful number, since it uses less digits than its factorization.

135015540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 135015540 is about 11619.6187545031. The cubic root of 135015540 is about 513.0124669709.

The spelling of 135015540 in words is "one hundred thirty-five million, fifteen thousand, five hundred forty".