135459744 has 48 divisors (see below), whose sum is σ = 406381248. Its totient is φ = 38702592.

The previous prime is 135459743. The next prime is 135459787. The reversal of 135459744 is 447954531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 135459696 and 135459705.

It is not an unprimeable number, because it can be changed into a prime (135459743) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 100117 + ... + 101460.

It is an arithmetic number, because the mean of its divisors is an integer number (8466276).

Almost surely, 2^135459744 is an apocalyptic number.

135459744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135459744 is an abundant number, since it is smaller than the sum of its proper divisors (270921504).

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

135459744 is a wasteful number, since it uses less digits than its factorization.

135459744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201597 (or 201589 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 135459744 is about 11638.7174551151. The cubic root of 135459744 is about 513.5744584109.

The spelling of 135459744 in words is "one hundred thirty-five million, four hundred fifty-nine thousand, seven hundred forty-four".