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126641151 = 367132383
BaseRepresentation
bin1111000110001…
…10001111111111
322211022001000000
413203012033333
5224410004101
620322205343
73065301120
oct743061777
9284261000
10126641151
116553840a
12364b3853
13203109c0
1412b68047
15b1b8486
hex78c63ff

126641151 has 112 divisors (see below), whose sum is σ = 246790656. Its totient is φ = 63125568.

The previous prime is 126641131. The next prime is 126641153. The reversal of 126641151 is 151146621.

126641151 is a `hidden beast` number, since 1 + 2 + 6 + 641 + 15 + 1 = 666.

It is not a de Polignac number, because 126641151 - 29 = 126640639 is a prime.

It is a super-2 number, since 2×1266411512 = 32075962253209602, which contains 22 as substring.

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

126641151 is a Rhonda number in base 10.

Its product of digits (1440) is a multiple of the sum of its prime factors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126641153) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1525756 + ... + 1525838.

It is an arithmetic number, because the mean of its divisors is an integer number (2203488).

Almost surely, 2126641151 is an apocalyptic number.

126641151 is a deficient number, since it is larger than the sum of its proper divisors (120149505).

126641151 is an equidigital number, since it uses as much as digits as its factorization.

126641151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 126641151 is about 11253.4950570923. The cubic root of 126641151 is about 502.1786941283.

Adding to 126641151 its reverse (151146621), we get a palindrome (277787772).

The spelling of 126641151 in words is "one hundred twenty-six million, six hundred forty-one thousand, one hundred fifty-one".

Divisors: 1 3 7 9 13 21 23 27 39 63 69 81 83 91 117 161 189 207 243 249 273 299 351 483 567 581 621 729 747 819 897 1053 1079 1449 1701 1743 1863 1909 2093 2241 2457 2691 3159 3237 4347 5103 5229 5589 5727 6279 6723 7371 7553 8073 9477 9711 13041 13363 15687 16767 17181 18837 20169 22113 22659 24219 24817 29133 39123 40089 47061 51543 56511 60507 66339 67977 72657 74451 87399 117369 120267 141183 154629 169533 173719 203931 217971 223353 262197 360801 423549 463887 508599 521157 611793 670059 786591 1082403 1391661 1525797 1563471 1835379 2010177 3247209 4690413 5506137 6030531 9741627 14071239 18091593 42213717 126641151