135093510 has 96 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 34815744.

The previous prime is 135093503. The next prime is 135093521. The reversal of 135093510 is 15390531.

135093510 is a `hidden beast` number, since 13 + 50 + 93 + 510 = 666.

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 47 ways as a sum of consecutive naturals, for example, 460924 + ... + 461216.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^135093510 is an apocalyptic number.

135093510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135093510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

135093510 is an abundant number, since it is smaller than the sum of its proper divisors (228149370).

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

135093510 is a wasteful number, since it uses less digits than its factorization.

135093510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 135093510 is about 11622.9733717324. The cubic root of 135093510 is about 513.1112010000. Note that the first 3 decimals are identical.

The spelling of 135093510 in words is "one hundred thirty-five million, ninety-three thousand, five hundred ten".