135216510 has 128 divisors (see below), whose sum is σ = 390652416. Its totient is φ = 29514240.

The previous prime is 135216503. The next prime is 135216511. The reversal of 135216510 is 15612531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135216511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184104 + ... + 184836.

It is an arithmetic number, because the mean of its divisors is an integer number (3051972).

Almost surely, 2^135216510 is an apocalyptic number.

135216510 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 135216510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195326208).

135216510 is an abundant number, since it is smaller than the sum of its proper divisors (255435906).

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

135216510 is a wasteful number, since it uses less digits than its factorization.

135216510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 135216510 is about 11628.2634129091. The cubic root of 135216510 is about 513.2668796681.

The spelling of 135216510 in words is "one hundred thirty-five million, two hundred sixteen thousand, five hundred ten".