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145104267 = 37111574001
BaseRepresentation
bin10001010011000…
…01110110001011
3101010001001122010
420221201312023
5244121314032
622222031003
73411236340
oct1051416613
9333031563
10145104267
11749a8a90
1240718463
13240a6719
14153b27c7
15cb13ccc
hex8a61d8b

145104267 has 32 divisors (see below), whose sum is σ = 242809344. Its totient is φ = 74880000.

The previous prime is 145104259. The next prime is 145104287. The reversal of 145104267 is 762401541.

It is not a de Polignac number, because 145104267 - 23 = 145104259 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (145104227) 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 31 ways as a sum of consecutive naturals, for example, 34267 + ... + 38267.

It is an arithmetic number, because the mean of its divisors is an integer number (7587792).

Almost surely, 2145104267 is an apocalyptic number.

145104267 is a deficient number, since it is larger than the sum of its proper divisors (97705077).

145104267 is a wasteful number, since it uses less digits than its factorization.

145104267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 145104267 is about 12045.9232522875. The cubic root of 145104267 is about 525.4846825597.

The spelling of 145104267 in words is "one hundred forty-five million, one hundred four thousand, two hundred sixty-seven".

Divisors: 1 3 7 11 21 33 77 157 231 471 1099 1727 3297 4001 5181 12003 12089 28007 36267 44011 84021 132033 308077 628157 924231 1884471 4397099 6909727 13191297 20729181 48368089 145104267