135435924182784 has 288 divisors, whose sum is σ = 384494236761600. Its totient is φ = 42201121996800.

The previous prime is 135435924182761. The next prime is 135435924182791. The reversal of 135435924182784 is 487281429534531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431664237 + ... + 431977875.

It is an arithmetic number, because the mean of its divisors is an integer number (1335049433200).

Almost surely, 2^{135435924182784} 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 135435924182784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192247118380800).

135435924182784 is an abundant number, since it is smaller than the sum of its proper divisors (249058312578816).

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

135435924182784 is a wasteful number, since it uses less digits than its factorization.

135435924182784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314071 (or 314057 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 66.

The spelling of 135435924182784 in words is "one hundred thirty-five trillion, four hundred thirty-five billion, nine hundred twenty-four million, one hundred eighty-two thousand, seven hundred eighty-four".