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145195008 = 21537211
BaseRepresentation
bin10001010011110…
…00000000000000
3101010012200002220
420221320000000
5244132220013
622224011040
73412065030
oct1051700000
9333180086
10145195008
1174a60182
1240760a80
1324108b0a
14153d78c0
15cb30b23
hex8a78000

145195008 has 128 divisors (see below), whose sum is σ = 444589440. Its totient is φ = 41287680.

The previous prime is 145195003. The next prime is 145195019. The reversal of 145195008 is 800591541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 145195008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145195003) 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 7 ways as a sum of consecutive naturals, for example, 688023 + ... + 688233.

It is an arithmetic number, because the mean of its divisors is an integer number (3473355).

Almost surely, 2145195008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145195008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222294720).

145195008 is an abundant number, since it is smaller than the sum of its proper divisors (299394432).

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

145195008 is an frugal number, since it uses more digits than its factorization.

145195008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 145195008 is about 12049.6891246206. The cubic root of 145195008 is about 525.5941970730.

The spelling of 145195008 in words is "one hundred forty-five million, one hundred ninety-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 211 224 256 336 384 422 448 512 633 672 768 844 896 1024 1266 1344 1477 1536 1688 1792 2048 2532 2688 2954 3072 3376 3584 4096 4431 5064 5376 5908 6144 6752 7168 8192 8862 10128 10752 11816 12288 13504 14336 16384 17724 20256 21504 23632 24576 27008 28672 32768 35448 40512 43008 47264 49152 54016 57344 70896 81024 86016 94528 98304 108032 114688 141792 162048 172032 189056 216064 229376 283584 324096 344064 378112 432128 567168 648192 688128 756224 864256 1134336 1296384 1512448 1728512 2268672 2592768 3024896 3457024 4537344 5185536 6049792 6914048 9074688 10371072 12099584 18149376 20742144 24199168 36298752 48398336 72597504 145195008