135488 has 28 divisors (see below), whose sum is σ = 281940. Its totient is φ = 64512.

The previous prime is 135479. The next prime is 135497. The reversal of 135488 is 884531.

It is an interprime number because it is at equal distance from previous prime (135479) and next prime (135497).

It can be written as a sum of positive squares in 2 ways, for example, as 73984 + 61504 = 272^2 + 248^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 135488.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135488.

It is an unprimeable number.

135488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1820 + ... + 1892.

2¹³⁵⁴⁸⁸ 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 135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140970).

135488 is an abundant number, since it is smaller than the sum of its proper divisors (146452).

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

135488 is an equidigital number, since it uses as much as digits as its factorization.

135488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 135488 is about 368.0869462505. The cubic root of 135488 is about 51.3610165332.

The spelling of 135488 in words is "one hundred thirty-five thousand, four hundred eighty-eight".