135314145 has 80 divisors (see below), whose sum is σ = 257962320. Its totient is φ = 67737600.

The previous prime is 135314131. The next prime is 135314159. The reversal of 135314145 is 541413531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135314131) and next prime (135314159).

It can be written as a sum of positive squares in 8 ways, for example, as 8346321 + 126967824 = 2889^2 + 11268^2 .

It is not a de Polignac number, because 135314145 - 2¹¹ = 135312097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 481405 + ... + 481685.

It is an arithmetic number, because the mean of its divisors is an integer number (3224529).

Almost surely, 2^135314145 is an apocalyptic number.

135314145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135314145 is a deficient number, since it is larger than the sum of its proper divisors (122648175).

135314145 is a wasteful number, since it uses less digits than its factorization.

135314145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 135314145 is about 11632.4608316555. The cubic root of 135314145 is about 513.3903871576.

Adding to 135314145 its reverse (541413531), we get a palindrome (676727676).

The spelling of 135314145 in words is "one hundred thirty-five million, three hundred fourteen thousand, one hundred forty-five".