146251516424 has 128 divisors (see below), whose sum is σ = 306641341440. Its totient is φ = 64969039872.

The previous prime is 146251516403. The next prime is 146251516483. The reversal of 146251516424 is 424615152641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82024637 + ... + 82026419.

It is an arithmetic number, because the mean of its divisors is an integer number (2395635480).

Almost surely, 2^146251516424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146251516424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153320670720).

146251516424 is an abundant number, since it is smaller than the sum of its proper divisors (160389825016).

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

146251516424 is a wasteful number, since it uses less digits than its factorization.

146251516424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2115 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The spelling of 146251516424 in words is "one hundred forty-six billion, two hundred fifty-one million, five hundred sixteen thousand, four hundred twenty-four".