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145443168 = 25331323563
BaseRepresentation
bin10001010101101…
…00100101100000
3101010200021112000
420222310211200
5244213140133
622233204000
73414150363
oct1052644540
9333607460
10145443168
117510a672
1240860600
1324194a60
14154600da
15cb7e413
hex8ab4960

145443168 has 192 divisors, whose sum is σ = 477550080. Its totient is φ = 42729984.

The previous prime is 145443163. The next prime is 145443197. The reversal of 145443168 is 861344541.

145443168 is a `hidden beast` number, since 1 + 454 + 43 + 168 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145443163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258055 + ... + 258617.

It is an arithmetic number, because the mean of its divisors is an integer number (2487240).

Almost surely, 2145443168 is an apocalyptic number.

145443168 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 145443168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238775040).

145443168 is an abundant number, since it is smaller than the sum of its proper divisors (332106912).

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

145443168 is a wasteful number, since it uses less digits than its factorization.

145443168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 145443168 is about 12059.9820895389. The cubic root of 145443168 is about 525.8934663551.

The spelling of 145443168 in words is "one hundred forty-five million, four hundred forty-three thousand, one hundred sixty-eight".