135306753263406 has 32 divisors (see below), whose sum is σ = 300682508862720. Its totient is φ = 45102125846232.

The previous prime is 135306753263351. The next prime is 135306753263419. The reversal of 135306753263406 is 604362357603531.

135306753263406 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 6 + 7 + 532 + 63 + 40 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17284641 + ... + 23861523.

It is an arithmetic number, because the mean of its divisors is an integer number (9396328401960).

Almost surely, 2^{135306753263406} is an apocalyptic number.

135306753263406 is an abundant number, since it is smaller than the sum of its proper divisors (165375755599314).

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

135306753263406 is a wasteful number, since it uses less digits than its factorization.

135306753263406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6957877 (or 6957871 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 54.

The spelling of 135306753263406 in words is "one hundred thirty-five trillion, three hundred six billion, seven hundred fifty-three million, two hundred sixty-three thousand, four hundred six".