135705210 has 64 divisors (see below), whose sum is σ = 339482880. Its totient is φ = 34675200.

The previous prime is 135705209. The next prime is 135705263. The reversal of 135705210 is 12507531.

It is a super-2 number, since 2×135705210² = 36831808042288200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130854 + ... + 131886.

It is an arithmetic number, because the mean of its divisors is an integer number (5304420).

Almost surely, 2^135705210 is an apocalyptic number.

135705210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135705210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169741440).

135705210 is an abundant number, since it is smaller than the sum of its proper divisors (203777670).

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

135705210 is a wasteful number, since it uses less digits than its factorization.

135705210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 135705210 is about 11649.2579162795. The cubic root of 135705210 is about 513.8844865505.

The spelling of 135705210 in words is "one hundred thirty-five million, seven hundred five thousand, two hundred ten".