146600160 has 288 divisors, whose sum is σ = 562609152. Its totient is φ = 31933440.

The previous prime is 146600159. The next prime is 146600171. The reversal of 146600160 is 61006641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 146600160.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 540825 + ... + 541095.

It is an arithmetic number, because the mean of its divisors is an integer number (1953504).

Almost surely, 2^146600160 is an apocalyptic number.

146600160 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 146600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281304576).

146600160 is an abundant number, since it is smaller than the sum of its proper divisors (416008992).

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

146600160 is a wasteful number, since it uses less digits than its factorization.

146600160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 146600160 is about 12107.8553014149. The cubic root of 146600160 is about 527.2842689795.

The spelling of 146600160 in words is "one hundred forty-six million, six hundred thousand, one hundred sixty".