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134205456 = 24371123301
BaseRepresentation
bin1111111111111…
…01000000010000
3100100112100021110
413333331000100
5233324033311
621152253320
73216504360
oct777750020
9310470243
10134205456
1169834600
1238b41240
1321a5ba18
1413b769a0
15bbae8a6
hex7ffd010

134205456 has 120 divisors (see below), whose sum is σ = 435652672. Its totient is φ = 34848000.

The previous prime is 134205443. The next prime is 134205469. The reversal of 134205456 is 654502431.

It is an interprime number because it is at equal distance from previous prime (134205443) and next prime (134205469).

It is a super-2 number, since 2×1342054562 = 36022208840335872, which contains 22 as substring.

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, 39006 + ... + 42306.

Almost surely, 2134205456 is an apocalyptic number.

134205456 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 134205456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217826336).

134205456 is an abundant number, since it is smaller than the sum of its proper divisors (301447216).

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

134205456 is a wasteful number, since it uses less digits than its factorization.

134205456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 134205456 is about 11584.7078513012. The cubic root of 134205456 is about 511.9843948694.

Adding to 134205456 its reverse (654502431), we get a palindrome (788707887).

The spelling of 134205456 in words is "one hundred thirty-four million, two hundred five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3301 3388 3696 5082 5808 6602 6776 9903 10164 13204 13552 19806 20328 23107 26408 36311 39612 40656 46214 52816 69321 72622 79224 92428 108933 138642 145244 158448 184856 217866 254177 277284 290488 369712 399421 435732 508354 554568 580976 762531 798842 871464 1016708 1109136 1198263 1525062 1597684 1742928 2033416 2396526 2795947 3050124 3195368 4066832 4793052 5591894 6100248 6390736 8387841 9586104 11183788 12200496 16775682 19172208 22367576 33551364 44735152 67102728 134205456