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164120148 = 22331519631
BaseRepresentation
bin10011100100001…
…00011001010100
3102102211011112000
421302010121110
5314003321043
624141355300
74031666253
oct1162043124
9372734460
10164120148
1184706995
1246b68b30
1328003c1a
1417b2279a
15e61d2d3
hex9c84654

164120148 has 24 divisors (see below), whose sum is σ = 425496960. Its totient is φ = 54706680.

The previous prime is 164120147. The next prime is 164120167. The reversal of 164120148 is 841021461.

It is a happy number.

164120148 is a `hidden beast` number, since 1 + 641 + 2 + 0 + 14 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164120147) 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 7 ways as a sum of consecutive naturals, for example, 759708 + ... + 759923.

It is an arithmetic number, because the mean of its divisors is an integer number (17729040).

Almost surely, 2164120148 is an apocalyptic number.

164120148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164120148 is an abundant number, since it is smaller than the sum of its proper divisors (261376812).

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

164120148 is a wasteful number, since it uses less digits than its factorization.

164120148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519644 (or 1519636 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 164120148 is about 12810.9386072996. The cubic root of 164120148 is about 547.5040044744.

The spelling of 164120148 in words is "one hundred sixty-four million, one hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1519631 3039262 4558893 6078524 9117786 13676679 18235572 27353358 41030037 54706716 82060074 164120148