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127144134 = 233131391303
BaseRepresentation
bin1111001010000…
…01000011000110
322212020120222000
413211001003012
5230022103014
620341050130
73102464415
oct745010306
9285216860
10127144134
11658512a7
12366b6946
1320458920
1412c5947c
15b267509
hex79410c6

127144134 has 64 divisors (see below), whose sum is σ = 306700800. Its totient is φ = 38810016.

The previous prime is 127144123. The next prime is 127144159. The reversal of 127144134 is 431441721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 127144098 and 127144107.

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 31 ways as a sum of consecutive naturals, for example, 96927 + ... + 98229.

It is an arithmetic number, because the mean of its divisors is an integer number (4792200).

Almost surely, 2127144134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127144134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153350400).

127144134 is an abundant number, since it is smaller than the sum of its proper divisors (179556666).

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

127144134 is a wasteful number, since it uses less digits than its factorization.

127144134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1460 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 127144134 is about 11275.8207683521. The cubic root of 127144134 is about 502.8426533498.

Adding to 127144134 its reverse (431441721), we get a palindrome (558585855).

The spelling of 127144134 in words is "one hundred twenty-seven million, one hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 139 234 278 351 417 702 834 1251 1303 1807 2502 2606 3614 3753 3909 5421 7506 7818 10842 11727 16263 16939 23454 32526 33878 35181 48789 50817 70362 97578 101634 152451 181117 304902 362234 457353 543351 914706 1086702 1630053 2354521 3260106 4709042 4890159 7063563 9780318 14127126 21190689 42381378 63572067 127144134