153365634312 has 128 divisors (see below), whose sum is σ = 422745523200. Its totient is φ = 45978451200.

The previous prime is 153365634299. The next prime is 153365634313. The reversal of 153365634312 is 213436563351.

153365634312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153365634312² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153365634313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20916487 + ... + 20923817.

It is an arithmetic number, because the mean of its divisors is an integer number (3302699400).

Almost surely, 2^153365634312 is an apocalyptic number.

153365634312 is a gapful number since it is divisible by the number (12) 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 153365634312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211372761600).

153365634312 is an abundant number, since it is smaller than the sum of its proper divisors (269379888888).

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

153365634312 is a wasteful number, since it uses less digits than its factorization.

153365634312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8187 (or 8183 counting only the distinct ones).

The product of its digits is 583200, while the sum is 42.

The spelling of 153365634312 in words is "one hundred fifty-three billion, three hundred sixty-five million, six hundred thirty-four thousand, three hundred twelve".