146143363240 has 512 divisors, whose sum is σ = 422830080000. Its totient is φ = 44341862400.

The previous prime is 146143363211. The next prime is 146143363241. The reversal of 146143363240 is 42363341641.

It is a self number, because there is not a number n which added to its sum of digits gives 146143363240.

It is not an unprimeable number, because it can be changed into a prime (146143363241) 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 127 ways as a sum of consecutive naturals, for example, 734388661 + ... + 734388859.

It is an arithmetic number, because the mean of its divisors is an integer number (825840000).

Almost surely, 2^146143363240 is an apocalyptic number.

146143363240 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 146143363240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211415040000).

146143363240 is an abundant number, since it is smaller than the sum of its proper divisors (276686716760).

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

146143363240 is a wasteful number, since it uses less digits than its factorization.

146143363240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 146143363240 in words is "one hundred forty-six billion, one hundred forty-three million, three hundred sixty-three thousand, two hundred forty".