163135811200 has 192 divisors, whose sum is σ = 419585700600. Its totient is φ = 62597283840.

The previous prime is 163135811177. The next prime is 163135811207. The reversal of 163135811200 is 2118531361.

It can be written as a sum of positive squares in 12 ways, for example, as 29680704 + 163106130496 = 5448^2 + 403864^2 .

It is a super-2 number, since 2×163135811200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163135811207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14564002 + ... + 14575198.

Almost surely, 2^163135811200 is an apocalyptic number.

163135811200 is a gapful number since it is divisible by the number (10) 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 163135811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209792850300).

163135811200 is an abundant number, since it is smaller than the sum of its proper divisors (256449889400).

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

163135811200 is a wasteful number, since it uses less digits than its factorization.

163135811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11407 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 163135811200 in words is "one hundred sixty-three billion, one hundred thirty-five million, eight hundred eleven thousand, two hundred".