135752144 has 40 divisors (see below), whose sum is σ = 290418912. Its totient is φ = 60955520.

The previous prime is 135752143. The next prime is 135752153. The reversal of 135752144 is 441257531.

135752144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135752144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135752143) 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, 9962 + ... + 19254.

Almost surely, 2^135752144 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 135752144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145209456).

135752144 is an abundant number, since it is smaller than the sum of its proper divisors (154666768).

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

135752144 is a wasteful number, since it uses less digits than its factorization.

135752144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9395 (or 9389 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 135752144 is about 11651.2722052143. The cubic root of 135752144 is about 513.9437224843.

The spelling of 135752144 in words is "one hundred thirty-five million, seven hundred fifty-two thousand, one hundred forty-four".