146241255040 has 256 divisors, whose sum is σ = 382749696000. Its totient is φ = 53225164800.

The previous prime is 146241255023. The next prime is 146241255047. The reversal of 146241255040 is 40552142641.

It is a junction number, because it is equal to n+sod(n) for n = 146241254987 and 146241255005.

It is not an unprimeable number, because it can be changed into a prime (146241255047) 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 31 ways as a sum of consecutive naturals, for example, 52396045 + ... + 52398835.

It is an arithmetic number, because the mean of its divisors is an integer number (1495116000).

Almost surely, 2^146241255040 is an apocalyptic number.

146241255040 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 146241255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191374848000).

146241255040 is an abundant number, since it is smaller than the sum of its proper divisors (236508440960).

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

146241255040 is a wasteful number, since it uses less digits than its factorization.

146241255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 146241255040 its reverse (40552142641), we get a palindrome (186793397681).

The spelling of 146241255040 in words is "one hundred forty-six billion, two hundred forty-one million, two hundred fifty-five thousand, forty".