135744 has 56 divisors (see below), whose sum is σ = 414528. Its totient is φ = 38400.

The previous prime is 135743. The next prime is 135757. The reversal of 135744 is 447531.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×135744³ = 7503833381732352, which contains 333 as substring.

It is a Smith number, since the sum of its digits (24) 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 (24).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135744.

It is not an unprimeable number, because it can be changed into a prime (135743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1294 + ... + 1394.

2¹³⁵⁷⁴⁴ is an apocalyptic number.

135744 is a gapful number since it is divisible by the number (14) 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 135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207264).

135744 is an abundant number, since it is smaller than the sum of its proper divisors (278784).

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

135744 is a wasteful number, since it uses less digits than its factorization.

135744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 135744 is about 368.4345260694. The cubic root of 135744 is about 51.3933444829.

The spelling of 135744 in words is "one hundred thirty-five thousand, seven hundred forty-four".