135390960 has 160 divisors (see below), whose sum is σ = 491040000. Its totient is φ = 34193664.

The previous prime is 135390953. The next prime is 135390977. The reversal of 135390960 is 69093531.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 39391 + ... + 42689.

It is an arithmetic number, because the mean of its divisors is an integer number (3069000).

Almost surely, 2^135390960 is an apocalyptic number.

135390960 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 135390960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520000).

135390960 is an abundant number, since it is smaller than the sum of its proper divisors (355649040).

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

135390960 is a wasteful number, since it uses less digits than its factorization.

135390960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 135390960 is about 11635.7621151345. The cubic root of 135390960 is about 513.4875157630.

The spelling of 135390960 in words is "one hundred thirty-five million, three hundred ninety thousand, nine hundred sixty".