146055168 has 168 divisors, whose sum is σ = 483888288. Its totient is φ = 41582592.

The previous prime is 146055163. The next prime is 146055187. The reversal of 146055168 is 861550641.

146055168 is a `hidden beast` number, since 1 + 46 + 0 + 551 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×146055168² = 42664224199016448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (146055163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515955 + ... + 516237.

Almost surely, 2^146055168 is an apocalyptic number.

146055168 is a gapful number since it is divisible by the number (18) 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 146055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241944144).

146055168 is an abundant number, since it is smaller than the sum of its proper divisors (337833120).

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

146055168 is an equidigital number, since it uses as much as digits as its factorization.

146055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 146055168 is about 12085.3286260656. The cubic root of 146055168 is about 526.6300574528.

The spelling of 146055168 in words is "one hundred forty-six million, fifty-five thousand, one hundred sixty-eight".