135414405 has 24 divisors (see below), whose sum is σ = 268250112. Its totient is φ = 61903584.

The previous prime is 135414403. The next prime is 135414407. The reversal of 135414405 is 504414531.

135414405 = 400² + 401² + ... + 777².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135414403) and next prime (135414407).

It is not a de Polignac number, because 135414405 - 2¹ = 135414403 is a prime.

It is a super-2 number, since 2×135414405² = 36674122163008050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135414403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214629 + ... + 215258.

It is an arithmetic number, because the mean of its divisors is an integer number (11177088).

Almost surely, 2^135414405 is an apocalyptic number.

135414405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135414405 is a deficient number, since it is larger than the sum of its proper divisors (132835707).

135414405 is a wasteful number, since it uses less digits than its factorization.

135414405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429905 (or 429902 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 135414405 is about 11636.7695259466. The cubic root of 135414405 is about 513.5171534384.

Adding to 135414405 its reverse (504414531), we get a palindrome (639828936).

The spelling of 135414405 in words is "one hundred thirty-five million, four hundred fourteen thousand, four hundred five".