135221310 has 96 divisors (see below), whose sum is σ = 412731072. Its totient is φ = 30067200.

The previous prime is 135221297. The next prime is 135221341. The reversal of 135221310 is 13122531.

135221310 is a `hidden beast` number, since 1 + 352 + 2 + 1 + 310 = 666.

It is a super-2 number, since 2×135221310² = 36569605356232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20410 + ... + 26210.

It is an arithmetic number, because the mean of its divisors is an integer number (4299282).

Almost surely, 2^135221310 is an apocalyptic number.

135221310 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 135221310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206365536).

135221310 is an abundant number, since it is smaller than the sum of its proper divisors (277509762).

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

135221310 is a wasteful number, since it uses less digits than its factorization.

135221310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135221310 is about 11628.4698047508. The cubic root of 135221310 is about 513.2729530188.

Adding to 135221310 its reverse (13122531), we get a palindrome (148343841).

It can be divided in two parts, 135221 and 310, that added together give a palindrome (135531).

The spelling of 135221310 in words is "one hundred thirty-five million, two hundred twenty-one thousand, three hundred ten".