135065209812 has 192 divisors, whose sum is σ = 372233164800. Its totient is φ = 37780162560.

The previous prime is 135065209777. The next prime is 135065209819. The reversal of 135065209812 is 218902560531.

It is a super-2 number, since 2×135065209812² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135065209819) 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, 5176014 + ... + 5202042.

It is an arithmetic number, because the mean of its divisors is an integer number (1938714400).

Almost surely, 2^135065209812 is an apocalyptic number.

135065209812 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 135065209812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186116582400).

135065209812 is an abundant number, since it is smaller than the sum of its proper divisors (237167954988).

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

135065209812 is a wasteful number, since it uses less digits than its factorization.

135065209812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26146 (or 26144 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 135065209812 in words is "one hundred thirty-five billion, sixty-five million, two hundred nine thousand, eight hundred twelve".