9135436128 has 576 divisors, whose sum is σ = 31917957120. Its totient is φ = 2264371200.

The previous prime is 9135436117. The next prime is 9135436133. The reversal of 9135436128 is 8216345319.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 9135436128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115638393 + ... + 115638471.

It is an arithmetic number, because the mean of its divisors is an integer number (55413120).

Almost surely, 2^9135436128 is an apocalyptic number.

9135436128 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 9135436128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958978560).

9135436128 is an abundant number, since it is smaller than the sum of its proper divisors (22782520992).

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

9135436128 is a wasteful number, since it uses less digits than its factorization.

9135436128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 9135436128 is about 95579.4754536768. The cubic root of 9135436128 is about 2090.4659361205.

The spelling of 9135436128 in words is "nine billion, one hundred thirty-five million, four hundred thirty-six thousand, one hundred twenty-eight".