905135128128 has 672 divisors, whose sum is σ = 3387560123520. Its totient is φ = 234348871680.

The previous prime is 905135128103. The next prime is 905135128141. The reversal of 905135128128 is 821821531509.

905135128128 is a `hidden beast` number, since 9 + 0 + 5 + 1 + 3 + 512 + 8 + 128 = 666.

905135128128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 328780000 + ... + 328782752.

Almost surely, 2^905135128128 is an apocalyptic number.

905135128128 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905135128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693780061760).

905135128128 is an abundant number, since it is smaller than the sum of its proper divisors (2482424995392).

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

905135128128 is a wasteful number, since it uses less digits than its factorization.

905135128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 905135128128 in words is "nine hundred five billion, one hundred thirty-five million, one hundred twenty-eight thousand, one hundred twenty-eight".