135205245252462 has 384 divisors, whose sum is σ = 355316535664128. Its totient is φ = 33897636864000.

The previous prime is 135205245252449. The next prime is 135205245252521. The reversal of 135205245252462 is 264252542502531.

It is a super-2 number, since 2×135205245252462² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5017437273 + ... + 5017464219.

It is an arithmetic number, because the mean of its divisors is an integer number (925303478292).

Almost surely, 2^{135205245252462} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135205245252462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177658267832064).

135205245252462 is an abundant number, since it is smaller than the sum of its proper divisors (220111290411666).

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

135205245252462 is a wasteful number, since it uses less digits than its factorization.

135205245252462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27504 (or 27497 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

Adding to 135205245252462 its reverse (264252542502531), we get a palindrome (399457787754993).

The spelling of 135205245252462 in words is "one hundred thirty-five trillion, two hundred five billion, two hundred forty-five million, two hundred fifty-two thousand, four hundred sixty-two".