146457656730 has 288 divisors, whose sum is σ = 483785265600. Its totient is φ = 30397731840.

The previous prime is 146457656701. The next prime is 146457656747. The reversal of 146457656730 is 37656754641.

146457656730 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 5 + 76 + 567 + 3 + 0 = 666.

146457656730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82417602 + ... + 82419378.

It is an arithmetic number, because the mean of its divisors is an integer number (1679809950).

Almost surely, 2^146457656730 is an apocalyptic number.

146457656730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146457656730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241892632800).

146457656730 is an abundant number, since it is smaller than the sum of its proper divisors (337327608870).

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

146457656730 is a wasteful number, since it uses less digits than its factorization.

146457656730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 146457656730 in words is "one hundred forty-six billion, four hundred fifty-seven million, six hundred fifty-six thousand, seven hundred thirty".