135206264315040 has 384 divisors, whose sum is σ = 434638039449600. Its totient is φ = 35319712665600.

The previous prime is 135206264315033. The next prime is 135206264315117. The reversal of 135206264315040 is 40513462602531.

It is a junction number, because it is equal to n+sod(n) for n = 135206264314983 and 135206264315001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13655814090 + ... + 13655823990.

It is an arithmetic number, because the mean of its divisors is an integer number (1131869894400).

Almost surely, 2^{135206264315040} is an apocalyptic number.

135206264315040 is a gapful number since it is divisible by the number (10) 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 135206264315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217319019724800).

135206264315040 is an abundant number, since it is smaller than the sum of its proper divisors (299431775134560).

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

135206264315040 is a wasteful number, since it uses less digits than its factorization.

135206264315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620 (or 11612 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 135206264315040 in words is "one hundred thirty-five trillion, two hundred six billion, two hundred sixty-four million, three hundred fifteen thousand, forty".