146420033143131 has 288 divisors, whose sum is σ = 249962505811200. Its totient is φ = 81667498475520.

The previous prime is 146420033143127. The next prime is 146420033143141. The reversal of 146420033143131 is 131341330024641.

146420033143131 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 2 + 0 + 0 + 331 + 4 + 313 + 1 = 666.

It is not a de Polignac number, because 146420033143131 - 2² = 146420033143127 is a prime.

It is a super-2 number, since 2×146420033143131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146420033143141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 357995190855 + ... + 357995191263.

It is an arithmetic number, because the mean of its divisors is an integer number (867925367400).

Almost surely, 2^{146420033143131} is an apocalyptic number.

146420033143131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146420033143131 is a deficient number, since it is larger than the sum of its proper divisors (103542472668069).

146420033143131 is a wasteful number, since it uses less digits than its factorization.

146420033143131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 146420033143131 its reverse (131341330024641), we get a palindrome (277761363167772).

The spelling of 146420033143131 in words is "one hundred forty-six trillion, four hundred twenty billion, thirty-three million, one hundred forty-three thousand, one hundred thirty-one".