Search a number
-
+
134038125 = 335413247
BaseRepresentation
bin1111111110101…
…00001001101101
3100100012211202000
413333110021231
5233303210000
621144522513
73215206464
oct777241155
9310184660
10134038125
116972a911
1238a80439
1321a00800
1413b319db
15bb7a000
hex7fd426d

134038125 has 120 divisors (see below), whose sum is σ = 274412160. Its totient is φ = 64584000.

The previous prime is 134038109. The next prime is 134038133. The reversal of 134038125 is 521830431.

It is a happy number.

It is not a de Polignac number, because 134038125 - 24 = 134038109 is a prime.

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 2851852 + ... + 2851898.

It is an arithmetic number, because the mean of its divisors is an integer number (2286768).

Almost surely, 2134038125 is an apocalyptic number.

134038125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134038125 is an abundant number, since it is smaller than the sum of its proper divisors (140374035).

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

134038125 is an equidigital number, since it uses as much as digits as its factorization.

134038125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 134038125 is about 11577.4835348620. The cubic root of 134038125 is about 511.7715210326.

Adding to 134038125 its reverse (521830431), we get a palindrome (655868556).

It can be divided in two parts, 13403 and 8125, that added together give a triangular number (21528 = T207).

The spelling of 134038125 in words is "one hundred thirty-four million, thirty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 47 65 75 117 125 135 141 169 195 225 235 325 351 375 423 507 585 611 625 675 705 845 975 1125 1175 1269 1521 1625 1755 1833 1875 2115 2535 2925 3055 3375 3525 4225 4563 4875 5499 5625 5875 6345 7605 7943 8125 8775 9165 10575 12675 14625 15275 16497 16875 17625 21125 22815 23829 24375 27495 29375 31725 38025 39715 43875 45825 52875 63375 71487 73125 76375 82485 88125 105625 114075 119145 137475 158625 190125 198575 214461 219375 229125 264375 316875 357435 381875 412425 570375 595725 687375 793125 950625 992875 1072305 1145625 1787175 2062125 2851875 2978625 3436875 4964375 5361525 8935875 10310625 14893125 26807625 44679375 134038125