135133040 has 160 divisors (see below), whose sum is σ = 380868480. Its totient is φ = 43610112.

The previous prime is 135133021. The next prime is 135133043. The reversal of 135133040 is 40331531.

It is a happy number.

135133040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135133043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860642 + ... + 860798.

It is an arithmetic number, because the mean of its divisors is an integer number (2380428).

Almost surely, 2^135133040 is an apocalyptic number.

135133040 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 135133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190434240).

135133040 is an abundant number, since it is smaller than the sum of its proper divisors (245735440).

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

135133040 is a wasteful number, since it uses less digits than its factorization.

135133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 135133040 is about 11624.6737588631. The cubic root of 135133040 is about 513.1612436401.

Adding to 135133040 its reverse (40331531), we get a palindrome (175464571).

The spelling of 135133040 in words is "one hundred thirty-five million, one hundred thirty-three thousand, forty".