135403004784 has 320 divisors, whose sum is σ = 392426946560. Its totient is φ = 40053242880.

The previous prime is 135403004771. The next prime is 135403004819. The reversal of 135403004784 is 487400304531.

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, 154392954 + ... + 154393830.

It is an arithmetic number, because the mean of its divisors is an integer number (1226334208).

Almost surely, 2^135403004784 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 135403004784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196213473280).

135403004784 is an abundant number, since it is smaller than the sum of its proper divisors (257023941776).

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

135403004784 is a wasteful number, since it uses less digits than its factorization.

135403004784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 135403004784 in words is "one hundred thirty-five billion, four hundred three million, four thousand, seven hundred eighty-four".