135144510 has 64 divisors (see below), whose sum is σ = 331776000. Its totient is φ = 35223552.

The previous prime is 135144491. The next prime is 135144517. The reversal of 135144510 is 15441531.

135144510 = 1920² + 1921² + ... + 1955².

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135144517) 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 31 ways as a sum of consecutive naturals, for example, 300766 + ... + 301214.

It is an arithmetic number, because the mean of its divisors is an integer number (5184000).

Almost surely, 2^135144510 is an apocalyptic number.

135144510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135144510 is an abundant number, since it is smaller than the sum of its proper divisors (196631490).

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

135144510 is a wasteful number, since it uses less digits than its factorization.

135144510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 135144510 is about 11625.1670955733. The cubic root of 135144510 is about 513.1757621544.

The spelling of 135144510 in words is "one hundred thirty-five million, one hundred forty-four thousand, five hundred ten".