135407 has 8 divisors (see below), whose sum is σ = 143616. Its totient is φ = 127512.

The previous prime is 135403. The next prime is 135409. The reversal of 135407 is 704531.

It is a happy number.

135407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135407 - 2² = 135403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1988 + ... + 2054.

It is an arithmetic number, because the mean of its divisors is an integer number (17952).

2¹³⁵⁴⁰⁷ is an apocalyptic number.

135407 is a deficient number, since it is larger than the sum of its proper divisors (8209).

135407 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 8 representation: 135407 = (410357)₈.

135407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 135407 is about 367.9769014490. The cubic root of 135407 is about 51.3507792879.

Adding to 135407 its reverse (704531), we get a palindrome (839938).

It can be divided in two parts, 135 and 407, that multiplied together give a palindrome (54945).

The spelling of 135407 in words is "one hundred thirty-five thousand, four hundred seven".