3065137152 has 576 divisors, whose sum is σ = 11154124800. Its totient is φ = 729907200.

The previous prime is 3065137151. The next prime is 3065137199. The reversal of 3065137152 is 2517315603.

It is a super-2 number, since 2×3065137152² = 18790131521141342208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3065137151) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 98875377 + ... + 98875407.

It is an arithmetic number, because the mean of its divisors is an integer number (19364800).

Almost surely, 2^3065137152 is an apocalyptic number.

3065137152 is a gapful number since it is divisible by the number (32) 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 3065137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577062400).

3065137152 is an abundant number, since it is smaller than the sum of its proper divisors (8088987648).

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

3065137152 is a wasteful number, since it uses less digits than its factorization.

3065137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 3065137152 is about 55363.6808024900. The cubic root of 3065137152 is about 1452.6131478399.

The spelling of 3065137152 in words is "three billion, sixty-five million, one hundred thirty-seven thousand, one hundred fifty-two".