135705312 has 72 divisors (see below), whose sum is σ = 387825984. Its totient is φ = 45010944.

The previous prime is 135705299. The next prime is 135705329. The reversal of 135705312 is 213507531.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63168 + ... + 65280.

It is an arithmetic number, because the mean of its divisors is an integer number (5386472).

Almost surely, 2^135705312 is an apocalyptic number.

135705312 is a gapful number since it is divisible by the number (12) 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 135705312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193912992).

135705312 is an abundant number, since it is smaller than the sum of its proper divisors (252120672).

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

135705312 is a wasteful number, since it uses less digits than its factorization.

135705312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 135705312 is about 11649.2622942399. The cubic root of 135705312 is about 513.8846153007.

The spelling of 135705312 in words is "one hundred thirty-five million, seven hundred five thousand, three hundred twelve".