146131211200 has 168 divisors, whose sum is σ = 410013101232. Its totient is φ = 50782126080.

The previous prime is 146131211197. The next prime is 146131211221. The reversal of 146131211200 is 2112131641.

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, 146967 + ... + 560233.

It is an arithmetic number, because the mean of its divisors is an integer number (2440554174).

Almost surely, 2^146131211200 is an apocalyptic number.

146131211200 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 146131211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205006550616).

146131211200 is an abundant number, since it is smaller than the sum of its proper divisors (263881890032).

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

146131211200 is a wasteful number, since it uses less digits than its factorization.

146131211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413319 (or 413304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 146131211200 its reverse (2112131641), we get a palindrome (148243342841).

The spelling of 146131211200 in words is "one hundred forty-six billion, one hundred thirty-one million, two hundred eleven thousand, two hundred".