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134976456 = 2334192577
BaseRepresentation
bin10000000101110…
…01001111001000
3100101222111220000
420002321033020
5234023221311
621221003000
73226165236
oct1002711710
9311874800
10134976456
116a21089a
1239253460
1321c6b934
1413cd7956
15bcb3056
hex80b93c8

134976456 has 120 divisors (see below), whose sum is σ = 399695670. Its totient is φ = 42550272.

The previous prime is 134976431. The next prime is 134976487. The reversal of 134976456 is 654679431.

It can be written as a sum of positive squares in only one way, i.e., 73102500 + 61873956 = 8550^2 + 7866^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 233640 + ... + 234216.

Almost surely, 2134976456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134976456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199847835).

134976456 is an abundant number, since it is smaller than the sum of its proper divisors (264719214).

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

134976456 is a wasteful number, since it uses less digits than its factorization.

134976456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 601 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 134976456 is about 11617.9368220007. The cubic root of 134976456 is about 512.9629602887.

The spelling of 134976456 in words is "one hundred thirty-four million, nine hundred seventy-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 361 456 513 577 648 684 722 1026 1083 1154 1368 1444 1539 1731 2052 2166 2308 2888 3078 3249 3462 4104 4332 4616 5193 6156 6498 6924 8664 9747 10386 10963 12312 12996 13848 15579 19494 20772 21926 25992 29241 31158 32889 38988 41544 43852 46737 58482 62316 65778 77976 87704 93474 98667 116964 124632 131556 186948 197334 208297 233928 263112 296001 373896 394668 416594 592002 624891 789336 833188 888003 1184004 1249782 1666376 1776006 1874673 2368008 2499564 3552012 3749346 4999128 5624019 7104024 7498692 11248038 14997384 16872057 22496076 33744114 44992152 67488228 134976456