146516136228224 has 256 divisors, whose sum is σ = 346659708579840. Its totient is φ = 60359150592000.

The previous prime is 146516136228199. The next prime is 146516136228233. The reversal of 146516136228224 is 422822631615641.

146516136228224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 12104385²-1.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24015098774 + ... + 24015104874.

It is an arithmetic number, because the mean of its divisors is an integer number (1354139486640).

Almost surely, 2^{146516136228224} is an apocalyptic number.

146516136228224 is a gapful number since it is divisible by the number (14) 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 146516136228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173329854289920).

146516136228224 is an abundant number, since it is smaller than the sum of its proper divisors (200143572351616).

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

146516136228224 is a wasteful number, since it uses less digits than its factorization.

146516136228224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11817 (or 11805 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 53.

The spelling of 146516136228224 in words is "one hundred forty-six trillion, five hundred sixteen billion, one hundred thirty-six million, two hundred twenty-eight thousand, two hundred twenty-four".