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134535456 = 25321142467
BaseRepresentation
bin10000000010011…
…01100100100000
3100101011002221200
420001031210200
5233420113311
621203321200
73222350436
oct1001154440
9311132850
10134535456
1169a3a530
1239080200
1321b45ca3
1413c20d56
15bc27556
hex804d920

134535456 has 72 divisors (see below), whose sum is σ = 417375504. Its totient is φ = 40767360.

The previous prime is 134535449. The next prime is 134535461. The reversal of 134535456 is 654535431.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1345354562 = 36199577842255872, which contains 22 as substring.

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 134535456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18066 + ... + 24401.

It is an arithmetic number, because the mean of its divisors is an integer number (5796882).

Almost surely, 2134535456 is an apocalyptic number.

134535456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134535456 is an abundant number, since it is smaller than the sum of its proper divisors (282840048).

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

134535456 is a wasteful number, since it uses less digits than its factorization.

134535456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42494 (or 42483 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 134535456 is about 11598.9420207190. The cubic root of 134535456 is about 512.4036936626.

The spelling of 134535456 in words is "one hundred thirty-four million, five hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 42467 84934 127401 169868 254802 339736 382203 467137 509604 679472 764406 934274 1019208 1358944 1401411 1528812 1868548 2038416 2802822 3057624 3737096 4076832 4204233 5605644 6115248 7474192 8408466 11211288 12230496 14948384 16816932 22422576 33633864 44845152 67267728 134535456