135071744 has 48 divisors (see below), whose sum is σ = 273169260. Its totient is φ = 66764800.

The previous prime is 135071723. The next prime is 135071759. The reversal of 135071744 is 447170531.

It can be written as a sum of positive squares in 2 ways, for example, as 131974144 + 3097600 = 11488^2 + 1760^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 135071744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206522 + ... + 207174.

Almost surely, 2^135071744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135071744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136584630).

135071744 is an abundant number, since it is smaller than the sum of its proper divisors (138097516).

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

135071744 is an equidigital number, since it uses as much as digits as its factorization.

135071744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 135071744 is about 11622.0369987365. The cubic root of 135071744 is about 513.0836423648.

It can be divided in two parts, 13507 and 1744, that added together give a palindrome (15251).

The spelling of 135071744 in words is "one hundred thirty-five million, seventy-one thousand, seven hundred forty-four".