135540756 has 96 divisors (see below), whose sum is σ = 398428800. Its totient is φ = 39502080.

The previous prime is 135540739. The next prime is 135540767. The reversal of 135540756 is 657045531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135540756.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24136 + ... + 29216.

It is an arithmetic number, because the mean of its divisors is an integer number (4150300).

Almost surely, 2^135540756 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 135540756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199214400).

135540756 is an abundant number, since it is smaller than the sum of its proper divisors (262888044).

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

135540756 is a wasteful number, since it uses less digits than its factorization.

135540756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 135540756 is about 11642.1972153026. The cubic root of 135540756 is about 513.6768194554.

The spelling of 135540756 in words is "one hundred thirty-five million, five hundred forty thousand, seven hundred fifty-six".