135834400405746 has 96 divisors (see below), whose sum is σ = 351001018368000. Its totient is φ = 37119781952352.

The previous prime is 135834400405727. The next prime is 135834400405757. The reversal of 135834400405746 is 647504004438531.

135834400405746 is a `hidden beast` number, since 1 + 3 + 583 + 4 + 4 + 0 + 0 + 4 + 0 + 57 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135834400405692 and 135834400405701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38894991 + ... + 42243213.

It is an arithmetic number, because the mean of its divisors is an integer number (3656260608000).

Almost surely, 2^{135834400405746} is an apocalyptic number.

135834400405746 is an abundant number, since it is smaller than the sum of its proper divisors (215166617962254).

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

135834400405746 is a wasteful number, since it uses less digits than its factorization.

135834400405746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362260 (or 3362257 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 135834400405746 in words is "one hundred thirty-five trillion, eight hundred thirty-four billion, four hundred million, four hundred five thousand, seven hundred forty-six".