135407880 has 48 divisors (see below), whose sum is σ = 440076780. Its totient is φ = 36108672.

The previous prime is 135407843. The next prime is 135407887. The reversal of 135407880 is 88704531.

It can be written as a sum of positive squares in 2 ways, for example, as 131744484 + 3663396 = 11478^2 + 1914^2 .

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

It is not an unprimeable number, because it can be changed into a prime (135407887) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 187707 + ... + 188426.

Almost surely, 2^135407880 is an apocalyptic number.

135407880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135407880 is an abundant number, since it is smaller than the sum of its proper divisors (304668900).

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

135407880 is a wasteful number, since it uses less digits than its factorization.

135407880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376150 (or 376143 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135407880 is about 11636.4891612548. The cubic root of 135407880 is about 513.5089052927.

The spelling of 135407880 in words is "one hundred thirty-five million, four hundred seven thousand, eight hundred eighty".