135206136434012 has 192 divisors, whose sum is σ = 292113739653120. Its totient is φ = 53501711155200.

The previous prime is 135206136433831. The next prime is 135206136434069. The reversal of 135206136434012 is 210434631602531.

It is a happy number.

It is a super-2 number, since 2×135206136434012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14954772212 + ... + 14954781252.

It is an arithmetic number, because the mean of its divisors is an integer number (1521425727360).

Almost surely, 2^{135206136434012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135206136434012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146056869826560).

135206136434012 is an abundant number, since it is smaller than the sum of its proper divisors (156907603219108).

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

135206136434012 is a wasteful number, since it uses less digits than its factorization.

135206136434012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15052 (or 15050 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 135206136434012 in words is "one hundred thirty-five trillion, two hundred six billion, one hundred thirty-six million, four hundred thirty-four thousand, twelve".