135098960 has 40 divisors (see below), whose sum is σ = 317007240. Its totient is φ = 53540352.

The previous prime is 135098923. The next prime is 135098963. The reversal of 135098960 is 69890531.

135098960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2572816 + 132526144 = 1604^2 + 11512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135098963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974 + ... + 16466.

It is an arithmetic number, because the mean of its divisors is an integer number (7925181).

Almost surely, 2^135098960 is an apocalyptic number.

135098960 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 135098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158503620).

135098960 is an abundant number, since it is smaller than the sum of its proper divisors (181908280).

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

135098960 is a wasteful number, since it uses less digits than its factorization.

135098960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15615 (or 15609 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 135098960 is about 11623.2078188424. The cubic root of 135098960 is about 513.1181009575.

The spelling of 135098960 in words is "one hundred thirty-five million, ninety-eight thousand, nine hundred sixty".