6133148928 has 216 divisors, whose sum is σ = 19307215200. Its totient is φ = 1936410624.

The previous prime is 6133148887. The next prime is 6133148969. The reversal of 6133148928 is 8298413316.

6133148928 is a `hidden beast` number, since 613 + 3 + 1 + 4 + 8 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (6133148887) and next prime (6133148969).

It is a tau number, because it is divible by the number of its divisors (216).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179358 + ... + 1184546.

Almost surely, 2^6133148928 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 6133148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9653607600).

6133148928 is an abundant number, since it is smaller than the sum of its proper divisors (13174066272).

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

6133148928 is an equidigital number, since it uses as much as digits as its factorization.

6133148928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5213 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 6133148928 is about 78314.4234991231. The cubic root of 6133148928 is about 1830.4639081880.

The spelling of 6133148928 in words is "six billion, one hundred thirty-three million, one hundred forty-eight thousand, nine hundred twenty-eight".