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134869536 = 253461853
BaseRepresentation
bin10000000100111…
…11001000100000
3100101210002020000
420002133020200
5234011311121
621214420000
73225241434
oct1002371040
9311702200
10134869536
116a14852a
1239201600
1321c32079
1413caa9c4
15bc91526
hex809f220

134869536 has 120 divisors (see below), whose sum is σ = 403622604. Its totient is φ = 44167680.

The previous prime is 134869529. The next prime is 134869571. The reversal of 134869536 is 635968431.

134869536 is a `hidden beast` number, since 1 + 34 + 86 + 9 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95179536 + 39690000 = 9756^2 + 6300^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 134869491 and 134869500.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157686 + ... + 158538.

Almost surely, 2134869536 is an apocalyptic number.

134869536 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 134869536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201811302).

134869536 is an abundant number, since it is smaller than the sum of its proper divisors (268753068).

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

134869536 is an equidigital number, since it uses as much as digits as its factorization.

134869536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 919 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 134869536 is about 11613.3344048985. The cubic root of 134869536 is about 512.8274786657.

The spelling of 134869536 in words is "one hundred thirty-four million, eight hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 244 288 324 366 432 488 549 648 732 853 864 976 1098 1296 1464 1647 1706 1952 2196 2559 2592 2928 3294 3412 4392 4941 5118 5856 6588 6824 7677 8784 9882 10236 13176 13648 15354 17568 19764 20472 23031 26352 27296 30708 39528 40944 46062 52033 52704 61416 69093 79056 81888 92124 104066 122832 138186 156099 158112 184248 208132 245664 276372 312198 368496 416264 468297 552744 624396 736992 832528 936594 1105488 1248792 1404891 1665056 1873188 2210976 2497584 2809782 3746376 4214673 4995168 5619564 7492752 8429346 11239128 14985504 16858692 22478256 33717384 44956512 67434768 134869536