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134456736 = 2537917729
BaseRepresentation
bin10000000001110…
…10010110100000
3100101000002222010
420000322112200
5233410103421
621201512520
73221602101
oct1000722640
9311002863
10134456736
1169996377
1239042740
1321b191cb
1413c003a8
15bc0e076
hex803a5a0

134456736 has 48 divisors (see below), whose sum is σ = 357436800. Its totient is φ = 44249088.

The previous prime is 134456719. The next prime is 134456759. The reversal of 134456736 is 637654431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1344567362 = 36157227711547392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134456694 and 134456703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1281 + ... + 16448.

It is an arithmetic number, because the mean of its divisors is an integer number (7446600).

Almost surely, 2134456736 is an apocalyptic number.

134456736 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 134456736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178718400).

134456736 is an abundant number, since it is smaller than the sum of its proper divisors (222980064).

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

134456736 is a wasteful number, since it uses less digits than its factorization.

134456736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17821 (or 17813 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 134456736 is about 11595.5481112365. The cubic root of 134456736 is about 512.3037341679.

The spelling of 134456736 in words is "one hundred thirty-four million, four hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 17729 35458 53187 70916 106374 141832 212748 283664 425496 567328 850992 1400591 1701984 2801182 4201773 5602364 8403546 11204728 16807092 22409456 33614184 44818912 67228368 134456736