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146142165 = 35132943601
BaseRepresentation
bin10001011010111…
…11001111010101
3101011222210100210
420231133033111
5244403022130
622300200033
73423121311
oct1055371725
9334883323
10146142165
1175547854
1240b39019
132437ac70
14155a2b41
15cc6b5b0
hex8b5f3d5

146142165 has 64 divisors (see below), whose sum is σ = 266999040. Its totient is φ = 67737600.

The previous prime is 146142133. The next prime is 146142169. The reversal of 146142165 is 561241641.

It is not a de Polignac number, because 146142165 - 25 = 146142133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146142169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242865 + ... + 243465.

It is an arithmetic number, because the mean of its divisors is an integer number (4171860).

Almost surely, 2146142165 is an apocalyptic number.

146142165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146142165 is a deficient number, since it is larger than the sum of its proper divisors (120856875).

146142165 is a wasteful number, since it uses less digits than its factorization.

146142165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its digits is 5760, while the sum is 30.

The square root of 146142165 is about 12088.9273717729. The cubic root of 146142165 is about 526.7345981827.

It can be divided in two parts, 146 and 142165, that added together give a triangular number (142311 = T533).

The spelling of 146142165 in words is "one hundred forty-six million, one hundred forty-two thousand, one hundred sixty-five".

Divisors: 1 3 5 13 15 29 39 43 65 87 129 145 195 215 377 435 559 601 645 1131 1247 1677 1803 1885 2795 3005 3741 5655 6235 7813 8385 9015 16211 17429 18705 23439 25843 39065 48633 52287 77529 81055 87145 117195 129215 226577 243165 261435 335959 387645 679731 749447 1007877 1132885 1679795 2248341 3398655 3747235 5039385 9742811 11241705 29228433 48714055 146142165