135705960 has 192 divisors, whose sum is σ = 481178880. Its totient is φ = 32970240.

The previous prime is 135705937. The next prime is 135705991. The reversal of 135705960 is 69507531.

It is a happy number.

135705960 is a `hidden beast` number, since 13 + 57 + 0 + 596 + 0 = 666.

It is a super-2 number, since 2×135705960² = 36832215159043200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500625 + ... + 500895.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2^135705960 is an apocalyptic number.

135705960 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 135705960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

135705960 is an abundant number, since it is smaller than the sum of its proper divisors (345472920).

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

135705960 is a wasteful number, since it uses less digits than its factorization.

135705960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 135705960 is about 11649.2901071267. The cubic root of 135705960 is about 513.8854332414.

The spelling of 135705960 in words is "one hundred thirty-five million, seven hundred five thousand, nine hundred sixty".