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134969498531136 = 2633223350257169
BaseRepresentation
bin11110101100000100001001…
…000000111111010101000000
3122200212221212102020020212000
4132230010021000333111000
5120142320013110444021
61155020044234104000
740300136665232463
oct3654041100772500
9580787772206760
10134969498531136
113a007274300785
1213179babb7b000
135a40752406809
1425487b6a812da
151090cee137b26
hex7ac10903f540

134969498531136 has 112 divisors (see below), whose sum is σ = 398564638886400. Its totient is φ = 44788084586496.

The previous prime is 134969498531059. The next prime is 134969498531149. The reversal of 134969498531136 is 631135894969431.

134969498531136 is a `hidden beast` number, since 1 + 3 + 4 + 96 + 9 + 498 + 5 + 3 + 11 + 36 = 666.

It is a super-2 number, since 2×1349694985311362 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174743241 + ... + 175513928.

It is an arithmetic number, because the mean of its divisors is an integer number (3558612847200).

Almost surely, 2134969498531136 is an apocalyptic number.

134969498531136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134969498531136 is an abundant number, since it is smaller than the sum of its proper divisors (263595140355264).

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

134969498531136 is a wasteful number, since it uses less digits than its factorization.

134969498531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350257413 (or 350257397 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 72.

The spelling of 134969498531136 in words is "one hundred thirty-four trillion, nine hundred sixty-nine billion, four hundred ninety-eight million, five hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 223 288 432 446 576 669 864 892 1338 1728 1784 2007 2676 3568 4014 5352 6021 7136 8028 10704 12042 14272 16056 21408 24084 32112 42816 48168 64224 96336 128448 192672 385344 350257169 700514338 1050771507 1401028676 2101543014 2802057352 3152314521 4203086028 5604114704 6304629042 8406172056 9456943563 11208229408 12609258084 16812344112 18913887126 22416458816 25218516168 33624688224 37827774252 50437032336 67249376448 75655548504 78107348687 100874064672 151311097008 156214697374 201748129344 234322046061 302622194016 312429394748 468644092122 605244388032 624858789496 702966138183 937288184244 1249717578992 1405932276366 1874576368488 2108898414549 2499435157984 2811864552732 3749152736976 4217796829098 4998870315968 5623729105464 7498305473952 8435593658196 11247458210928 14996610947904 16871187316392 22494916421856 33742374632784 44989832843712 67484749265568 134969498531136