135205440 has 56 divisors (see below), whose sum is σ = 429280320. Its totient is φ = 36054528.

The previous prime is 135205429. The next prime is 135205451. The reversal of 135205440 is 44502531.

It is an interprime number because it is at equal distance from previous prime (135205429) and next prime (135205451).

It is a super-2 number, since 2×135205440² = 36561022011187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135205440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69460 + ... + 71379.

It is an arithmetic number, because the mean of its divisors is an integer number (7665720).

Almost surely, 2^135205440 is an apocalyptic number.

135205440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135205440 is an abundant number, since it is smaller than the sum of its proper divisors (294074880).

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

135205440 is a wasteful number, since it uses less digits than its factorization.

135205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140859 (or 140849 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 135205440 is about 11627.7874077573. The cubic root of 135205440 is about 513.2528724549.

Adding to 135205440 its reverse (44502531), we get a palindrome (179707971).

The spelling of 135205440 in words is "one hundred thirty-five million, two hundred five thousand, four hundred forty".