135301221252 has 144 divisors (see below), whose sum is σ = 364479635520. Its totient is φ = 42198624000.

The previous prime is 135301221241. The next prime is 135301221287. The reversal of 135301221252 is 252122103531.

135301221252 is a `hidden beast` number, since 1 + 3 + 530 + 1 + 2 + 2 + 125 + 2 = 666.

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, 30602002 + ... + 30606422.

It is an arithmetic number, because the mean of its divisors is an integer number (2531108580).

Almost surely, 2^135301221252 is an apocalyptic number.

135301221252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135301221252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182239817760).

135301221252 is an abundant number, since it is smaller than the sum of its proper divisors (229178414268).

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

135301221252 is a wasteful number, since it uses less digits than its factorization.

135301221252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 135301221252 its reverse (252122103531), we get a palindrome (387423324783).

The spelling of 135301221252 in words is "one hundred thirty-five billion, three hundred one million, two hundred twenty-one thousand, two hundred fifty-two".