135434424445600 has 144 divisors (see below), whose sum is σ = 397749520526400. Its totient is φ = 43990730311680.

The previous prime is 135434424445559. The next prime is 135434424445609. The reversal of 135434424445600 is 6544424434531.

It is not an unprimeable number, because it can be changed into a prime (135434424445609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636333565 + ... + 636546364.

It is an arithmetic number, because the mean of its divisors is an integer number (2762149448100).

Almost surely, 2^{135434424445600} is an apocalyptic number.

135434424445600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135434424445600 is an abundant number, since it is smaller than the sum of its proper divisors (262315096080800).

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

135434424445600 is a wasteful number, since it uses less digits than its factorization.

135434424445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272879975 (or 1272879962 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 49.

The spelling of 135434424445600 in words is "one hundred thirty-five trillion, four hundred thirty-four billion, four hundred twenty-four million, four hundred forty-five thousand, six hundred".