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145634664 = 23372373347
BaseRepresentation
bin10001010111000…
…11010101101000
3101011001000012110
420223203111220
5244240302124
622241242320
73415605600
oct1053432550
9334030173
10145634664
117523052a
12409333a0
1324230c76
14154adc00
15cbbb029
hex8ae3568

145634664 has 96 divisors (see below), whose sum is σ = 435106080. Its totient is φ = 40473216.

The previous prime is 145634663. The next prime is 145634669. The reversal of 145634664 is 466436541.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (145634663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41839 + ... + 45185.

It is an arithmetic number, because the mean of its divisors is an integer number (4532355).

Almost surely, 2145634664 is an apocalyptic number.

145634664 is a gapful number since it is divisible by the number (14) 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 145634664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217553040).

145634664 is an abundant number, since it is smaller than the sum of its proper divisors (289471416).

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

145634664 is a wasteful number, since it uses less digits than its factorization.

145634664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3396 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 145634664 is about 12067.9187932303. The cubic root of 145634664 is about 526.1241689059.

The spelling of 145634664 in words is "one hundred forty-five million, six hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 49 56 74 84 98 111 147 148 168 196 222 259 294 296 392 444 518 588 777 888 1036 1176 1554 1813 2072 3108 3347 3626 5439 6216 6694 7252 10041 10878 13388 14504 20082 21756 23429 26776 40164 43512 46858 70287 80328 93716 123839 140574 164003 187432 247678 281148 328006 371517 492009 495356 562296 656012 743034 866873 984018 990712 1312024 1486068 1733746 1968036 2600619 2972136 3467492 3936072 5201238 6068111 6934984 10402476 12136222 18204333 20804952 24272444 36408666 48544888 72817332 145634664