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125136102 = 237213291129
BaseRepresentation
bin1110111010101…
…10110011100110
322201110120110110
413131112303212
5224013323402
620230033450
73046432200
oct735266346
9281416413
10125136102
11646aa673
1235aa8886
131cc04940
1412895770
15aebc56c
hex7756ce6

125136102 has 96 divisors (see below), whose sum is σ = 324626400. Its totient is φ = 31836672.

The previous prime is 125136049. The next prime is 125136103. The reversal of 125136102 is 201631521.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125136103) 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 47 ways as a sum of consecutive naturals, for example, 110274 + ... + 111402.

It is an arithmetic number, because the mean of its divisors is an integer number (3381525).

Almost surely, 2125136102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125136102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162313200).

125136102 is an abundant number, since it is smaller than the sum of its proper divisors (199490298).

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

125136102 is a wasteful number, since it uses less digits than its factorization.

125136102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 125136102 is about 11186.4248980628. The cubic root of 125136102 is about 500.1814035109.

Adding to 125136102 its reverse (201631521), we get a palindrome (326767623).

The spelling of 125136102 in words is "one hundred twenty-five million, one hundred thirty-six thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 49 58 78 87 91 98 147 174 182 203 273 294 377 406 546 609 637 754 1129 1131 1218 1274 1421 1911 2258 2262 2639 2842 3387 3822 4263 5278 6774 7903 7917 8526 14677 15806 15834 18473 23709 29354 32741 36946 44031 47418 55321 55419 65482 88062 98223 102739 110642 110838 165963 196446 205478 229187 308217 331926 425633 458374 616434 687561 719173 851266 1276899 1375122 1438346 1604309 2157519 2553798 2979431 3208618 4315038 4812927 5958862 8938293 9625854 17876586 20856017 41712034 62568051 125136102