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146112138 = 2321072709
BaseRepresentation
bin10001011010101…
…11111010001010
3101011221021011200
420231113322022
5244401042023
622255405030
73422634624
oct1055277212
9334837150
10146112138
1175527237
1240b23776
132436a3b3
1415595c14
15cc62743
hex8b57e8a

146112138 has 36 divisors (see below), whose sum is σ = 320013330. Its totient is φ = 48180816.

The previous prime is 146112133. The next prime is 146112157. The reversal of 146112138 is 831211641.

It is a happy number.

146112138 is a `hidden beast` number, since 14 + 611 + 2 + 1 + 38 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141063129 + 5049009 = 11877^2 + 2247^2 .

It is not an unprimeable number, because it can be changed into a prime (146112133) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 205728 + ... + 206436.

Almost surely, 2146112138 is an apocalyptic number.

146112138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

146112138 is an abundant number, since it is smaller than the sum of its proper divisors (173901192).

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

146112138 is a wasteful number, since it uses less digits than its factorization.

146112138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 821 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 146112138 is about 12087.6853863757. The cubic root of 146112138 is about 526.6985206570.

Adding to 146112138 its reverse (831211641), we get a palindrome (977323779).

The spelling of 146112138 in words is "one hundred forty-six million, one hundred twelve thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 107 214 321 642 709 963 1418 1926 2127 4254 6381 11449 12762 22898 34347 68694 75863 103041 151726 206082 227589 455178 682767 1365534 8117341 16234682 24352023 48704046 73056069 146112138