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144202135 = 57113753191
BaseRepresentation
bin10001001100001…
…01100110010111
3101001100020010211
420212011212113
5243403432020
622150430251
73400461250
oct1046054627
9331306124
10144202135
1174442220
1240362387
1323b4bc0c
1415219b27
15c9d685a
hex8985997

144202135 has 64 divisors (see below), whose sum is σ = 226934784. Its totient is φ = 85363200.

The previous prime is 144202129. The next prime is 144202141. The reversal of 144202135 is 531202441.

It is an interprime number because it is at equal distance from previous prime (144202129) and next prime (144202141).

It is not a de Polignac number, because 144202135 - 23 = 144202127 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 754890 + ... + 755080.

It is an arithmetic number, because the mean of its divisors is an integer number (3545856).

Almost surely, 2144202135 is an apocalyptic number.

144202135 is the 9805-th pentagonal number.

144202135 is a deficient number, since it is larger than the sum of its proper divisors (82732649).

144202135 is a wasteful number, since it uses less digits than its factorization.

144202135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 144202135 is about 12008.4193381144. The cubic root of 144202135 is about 524.3934158256.

Adding to 144202135 its reverse (531202441), we get a palindrome (675404576).

The spelling of 144202135 in words is "one hundred forty-four million, two hundred two thousand, one hundred thirty-five".

Divisors: 1 5 7 11 35 37 53 55 77 185 191 259 265 371 385 407 583 955 1295 1337 1855 1961 2035 2101 2849 2915 4081 6685 7067 9805 10123 10505 13727 14245 14707 20405 21571 35335 49469 50615 68635 70861 73535 77737 107855 111353 150997 247345 354305 374551 388685 544159 556765 754985 779471 1872755 2621857 2720795 3897355 4120061 13109285 20600305 28840427 144202135