135500040 has 160 divisors (see below), whose sum is σ = 490616280. Its totient is φ = 33343488.

The previous prime is 135500017. The next prime is 135500041. The reversal of 135500040 is 40005531.

It can be written as a sum of positive squares in 4 ways, for example, as 112402404 + 23097636 = 10602^2 + 4806^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 135499986 and 135500022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135500041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40512 + ... + 43728.

Almost surely, 2^135500040 is an apocalyptic number.

135500040 is a gapful number since it is divisible by the number (10) 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 135500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245308140).

135500040 is an abundant number, since it is smaller than the sum of its proper divisors (355116240).

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

135500040 is a wasteful number, since it uses less digits than its factorization.

135500040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 135500040 is about 11640.4484449698. The cubic root of 135500040 is about 513.6253786918.

Adding to 135500040 its reverse (40005531), we get a palindrome (175505571).

The spelling of 135500040 in words is "one hundred thirty-five million, five hundred thousand, forty".