146133223140 has 192 divisors, whose sum is σ = 437912616960. Its totient is φ = 36330094080.

The previous prime is 146133223121. The next prime is 146133223147. The reversal of 146133223140 is 41322331641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146133223098 and 146133223107.

It is not an unprimeable number, because it can be changed into a prime (146133223147) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26265999 + ... + 26271561.

It is an arithmetic number, because the mean of its divisors is an integer number (2280794880).

Almost surely, 2^146133223140 is an apocalyptic number.

146133223140 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 146133223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218956308480).

146133223140 is an abundant number, since it is smaller than the sum of its proper divisors (291779393820).

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

146133223140 is a wasteful number, since it uses less digits than its factorization.

146133223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 146133223140 its reverse (41322331641), we get a palindrome (187455554781).

The spelling of 146133223140 in words is "one hundred forty-six billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred forty".