146430257160 has 512 divisors, whose sum is σ = 532011110400. Its totient is φ = 31823953920.

The previous prime is 146430257123. The next prime is 146430257191. The reversal of 146430257160 is 61752034641.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55952172 + ... + 55954788.

It is an arithmetic number, because the mean of its divisors is an integer number (1039084200).

Almost surely, 2^146430257160 is an apocalyptic number.

146430257160 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 146430257160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266005555200).

146430257160 is an abundant number, since it is smaller than the sum of its proper divisors (385580853240).

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

146430257160 is a wasteful number, since it uses less digits than its factorization.

146430257160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 146430257160 in words is "one hundred forty-six billion, four hundred thirty million, two hundred fifty-seven thousand, one hundred sixty".