6133211136 has 392 divisors, whose sum is σ = 20055413280. Its totient is φ = 1863254016.

The previous prime is 6133211113. The next prime is 6133211171. The reversal of 6133211136 is 6311123316.

6133211136 is a `hidden beast` number, since 613 + 3 + 2 + 1 + 11 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product 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 (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 77635545 + ... + 77635623.

Almost surely, 2^6133211136 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 6133211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10027706640).

6133211136 is an abundant number, since it is smaller than the sum of its proper divisors (13922202144).

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

6133211136 is an frugal number, since it uses more digits than its factorization.

6133211136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 6133211136 is about 78314.8206663336. The cubic root of 6133211136 is about 1830.4700969129.

The spelling of 6133211136 in words is "six billion, one hundred thirty-three million, two hundred eleven thousand, one hundred thirty-six".