153135405 has 24 divisors (see below), whose sum is σ = 281049912. Its totient is φ = 76867584.

The previous prime is 153135397. The next prime is 153135407. The reversal of 153135405 is 504531351.

It can be written as a sum of positive squares in 4 ways, for example, as 6749604 + 146385801 = 2598^2 + 12099^2 .

It is not a de Polignac number, because 153135405 - 2³ = 153135397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153135407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 99324 + ... + 100853.

It is an arithmetic number, because the mean of its divisors is an integer number (11710413).

Almost surely, 2^153135405 is an apocalyptic number.

153135405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153135405 is a deficient number, since it is larger than the sum of its proper divisors (127914507).

153135405 is a wasteful number, since it uses less digits than its factorization.

153135405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200205 (or 200202 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 153135405 is about 12374.7890891118. The cubic root of 153135405 is about 535.0058577983.

Adding to 153135405 its reverse (504531351), we get a palindrome (657666756).

The spelling of 153135405 in words is "one hundred fifty-three million, one hundred thirty-five thousand, four hundred five".