146332161360 has 1920 divisors, whose sum is σ = 680699289600. Its totient is φ = 28531077120.

The previous prime is 146332161301. The next prime is 146332161373. The reversal of 146332161360 is 63161233641.

146332161360 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 32 + 1 + 613 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 1852305801 + ... + 1852305879.

It is an arithmetic number, because the mean of its divisors is an integer number (354530880).

Almost surely, 2^146332161360 is an apocalyptic number.

146332161360 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 146332161360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340349644800).

146332161360 is an abundant number, since it is smaller than the sum of its proper divisors (534367128240).

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

146332161360 is a wasteful number, since it uses less digits than its factorization.

146332161360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 146332161360 in words is "one hundred forty-six billion, three hundred thirty-two million, one hundred sixty-one thousand, three hundred sixty".