1535128906104 has 256 divisors, whose sum is σ = 4686595200000. Its totient is φ = 463427661312.

The previous prime is 1535128906099. The next prime is 1535128906121. The reversal of 1535128906104 is 4016098215351.

It is a happy number.

1535128906104 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 1 + 28 + 9 + 0 + 610 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1535128906104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208885822 + ... + 208893170.

It is an arithmetic number, because the mean of its divisors is an integer number (18307012500).

Almost surely, 2^{1535128906104} 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 1535128906104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343297600000).

1535128906104 is an abundant number, since it is smaller than the sum of its proper divisors (3151466293896).

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

1535128906104 is a wasteful number, since it uses less digits than its factorization.

1535128906104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9619 (or 9609 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1535128906104 in words is "one trillion, five hundred thirty-five billion, one hundred twenty-eight million, nine hundred six thousand, one hundred four".