Search a number
-
+
134025696 = 25327193499
BaseRepresentation
bin1111111110100…
…01000111100000
3100100012012200200
413333101013200
5233302310241
621144345200
73215125320
oct777210740
9310165620
10134025696
1169721542
1238a75200
13219c7c5c
1413b2b280
15bb764b6
hex7fd11e0

134025696 has 144 divisors (see below), whose sum is σ = 458640000. Its totient is φ = 36267264.

The previous prime is 134025659. The next prime is 134025701. The reversal of 134025696 is 696520431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134025696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36555 + ... + 40053.

It is an arithmetic number, because the mean of its divisors is an integer number (3185000).

Almost surely, 2134025696 is an apocalyptic number.

134025696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134025696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320000).

134025696 is an abundant number, since it is smaller than the sum of its proper divisors (324614304).

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

134025696 is a wasteful number, since it uses less digits than its factorization.

134025696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 134025696 is about 11576.9467477397. The cubic root of 134025696 is about 511.7557021381.

The spelling of 134025696 in words is "one hundred thirty-four million, twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 3499 4256 4788 5472 6384 6998 9576 10497 12768 13996 19152 20994 24493 27992 31491 38304 41988 48986 55984 62982 66481 73479 83976 97972 111968 125964 132962 146958 167952 195944 199443 220437 251928 265924 293916 335904 391888 398886 440874 465367 503856 531848 587832 598329 783776 797772 881748 930734 1007712 1063696 1175664 1196658 1396101 1595544 1763496 1861468 2127392 2351328 2393316 2792202 3191088 3526992 3722936 4188303 4786632 5584404 6382176 7053984 7445872 8376606 9573264 11168808 14891744 16753212 19146528 22337616 33506424 44675232 67012848 134025696