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144202136 = 23135971331
BaseRepresentation
bin10001001100001…
…01100110011000
3101001100020010212
420212011212120
5243403432021
622150430252
73400461251
oct1046054630
9331306125
10144202136
1174442221
1240362388
1323b4bc10
1415219b28
15c9d685b
hex8985998

144202136 has 64 divisors (see below), whose sum is σ = 301190400. Its totient is φ = 64310400.

The previous prime is 144202129. The next prime is 144202141. The reversal of 144202136 is 631202441.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435491 + ... + 435821.

It is an arithmetic number, because the mean of its divisors is an integer number (4706100).

Almost surely, 2144202136 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 144202136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150595200).

144202136 is an abundant number, since it is smaller than the sum of its proper divisors (156988264).

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

144202136 is a wasteful number, since it uses less digits than its factorization.

144202136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 144202136 is about 12008.4193797519. The cubic root of 144202136 is about 524.3934170378.

Adding to 144202136 its reverse (631202441), we get a palindrome (775404577).

The spelling of 144202136 in words is "one hundred forty-four million, two hundred two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 59 71 104 118 142 236 284 331 472 568 662 767 923 1324 1534 1846 2648 3068 3692 4189 4303 6136 7384 8378 8606 16756 17212 19529 23501 33512 34424 39058 47002 54457 78116 94004 108914 156232 188008 217828 253877 305513 435656 507754 611026 1015508 1222052 1386559 2031016 2444104 2773118 5546236 11092472 18025267 36050534 72101068 144202136