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134257608 = 233337107157
BaseRepresentation
bin10000000000010…
…01101111001000
3100100121222211000
420000021233020
5233332220413
621153335000
73220112412
oct1000115710
9310558730
10134257608
116986a801
1238b67460
1321a79694
1413b8b9b2
15bbc0073
hex8009bc8

134257608 has 128 divisors (see below), whose sum is σ = 389059200. Its totient is φ = 42861312.

The previous prime is 134257597. The next prime is 134257637. The reversal of 134257608 is 806752431.

134257608 is a `hidden beast` number, since 1 + 3 + 42 + 5 + 7 + 608 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 855066 + ... + 855222.

It is an arithmetic number, because the mean of its divisors is an integer number (3039525).

Almost surely, 2134257608 is an apocalyptic number.

134257608 is a gapful number since it is divisible by the number (18) 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 134257608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194529600).

134257608 is an abundant number, since it is smaller than the sum of its proper divisors (254801592).

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

134257608 is a wasteful number, since it uses less digits than its factorization.

134257608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 134257608 is about 11586.9585310382. The cubic root of 134257608 is about 512.0507050207.

It can be divided in two parts, 1 and 34257608, that added together give a square (34257609 = 58532).

The spelling of 134257608 in words is "one hundred thirty-four million, two hundred fifty-seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 107 108 111 148 157 214 216 222 296 314 321 333 428 444 471 628 642 666 856 888 942 963 999 1256 1284 1332 1413 1884 1926 1998 2568 2664 2826 2889 3768 3852 3959 3996 4239 5652 5778 5809 7704 7918 7992 8478 11304 11556 11618 11877 15836 16799 16956 17427 23112 23236 23754 31672 33598 33912 34854 35631 46472 47508 50397 52281 67196 69708 71262 95016 100794 104562 106893 134392 139416 142524 151191 156843 201588 209124 213786 285048 302382 313686 403176 418248 427572 453573 604764 621563 627372 855144 907146 1209528 1243126 1254744 1814292 1864689 2486252 3628584 3729378 4972504 5594067 7458756 11188134 14917512 16782201 22376268 33564402 44752536 67128804 134257608