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146438145 = 3357831867
BaseRepresentation
bin10001011101001…
…11100000000001
3101012112211101000
420232213200001
5244442010040
622310402213
73425463240
oct1056474001
9335484330
10146438145
117572a167
1241060369
13244528b9
141563c957
15ccc9130
hex8ba7801

146438145 has 64 divisors (see below), whose sum is σ = 301271040. Its totient is φ = 66101184.

The previous prime is 146438093. The next prime is 146438179. The reversal of 146438145 is 541834641.

146438145 is a `hidden beast` number, since 1 + 4 + 643 + 8 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 146438145 - 210 = 146437121 is a prime.

It is a super-2 number, since 2×1464381452 = 42888260622082050, which contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 77502 + ... + 79368.

It is an arithmetic number, because the mean of its divisors is an integer number (4707360).

Almost surely, 2146438145 is an apocalyptic number.

146438145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146438145 is an abundant number, since it is smaller than the sum of its proper divisors (154832895).

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

146438145 is a wasteful number, since it uses less digits than its factorization.

146438145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1965 counting only the distinct ones).

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

The square root of 146438145 is about 12101.1629606414. The cubic root of 146438145 is about 527.0899548433.

The spelling of 146438145 in words is "one hundred forty-six million, four hundred thirty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 83 105 135 189 249 315 415 581 747 945 1245 1743 1867 2241 2905 3735 5229 5601 8715 9335 11205 13069 15687 16803 26145 28005 39207 50409 65345 78435 84015 117621 154961 196035 252045 352863 464883 588105 774805 1084727 1394649 1764315 2324415 3254181 4183947 5423635 6973245 9762543 16270905 20919735 29287629 48812715 146438145