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134619969456 = 243271010313219
BaseRepresentation
bin111110101011111111…
…0011011011110110000
3110212110220020000021200
41331113332123132300
54201200203010311
6141502113051200
712504002601030
oct1752776333660
9425426200250
10134619969456
1152101510605
122210bb56b00
13c90509437b
146730cc38c0
15377d74d556
hex1f57f9b7b0

134619969456 has 120 divisors (see below), whose sum is σ = 430645413120. Its totient is φ = 38456131968.

The previous prime is 134619969389. The next prime is 134619969457. The reversal of 134619969456 is 654969916431.

134619969456 is a `hidden beast` number, since 1 + 3 + 4 + 619 + 9 + 6 + 9 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 134619969393 and 134619969402.

It is not an unprimeable number, because it can be changed into a prime (134619969457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10177215 + ... + 10190433.

It is an arithmetic number, because the mean of its divisors is an integer number (3588711776).

Almost surely, 2134619969456 is an apocalyptic number.

134619969456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134619969456 is an abundant number, since it is smaller than the sum of its proper divisors (296025443664).

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

134619969456 is a wasteful number, since it uses less digits than its factorization.

134619969456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23343 (or 23334 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 134619969456 in words is "one hundred thirty-four billion, six hundred nineteen million, nine hundred sixty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 10103 13219 20206 26438 30309 39657 40412 52876 60618 70721 79314 80824 90927 92533 105752 118971 121236 141442 158628 161648 181854 185066 211504 212163 237942 242472 277599 282884 317256 363708 370132 424326 475884 484944 555198 565768 634512 636489 727416 740264 832797 848652 951768 1110396 1131536 1272978 1454832 1480528 1665594 1697304 1903536 2220792 2545956 3331188 3394608 4441584 5091912 6662376 10183824 13324752 133551557 267103114 400654671 534206228 801309342 934860899 1068412456 1201964013 1602618684 1869721798 2136824912 2403928026 2804582697 3205237368 3739443596 4807856052 5609165394 6410474736 7478887192 8413748091 9615712104 11218330788 14957774384 16827496182 19231424208 22436661576 33654992364 44873323152 67309984728 134619969456