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134498961081 = 36174472
BaseRepresentation
bin111110101000011000…
…0110100011010111001
3110212011110112011000000
41331100300310122321
54200423213223311
6141442111303213
712501003206652
oct1752060643271
9425143464000
10134498961081
115204a180191
122209751ab09
13c8b5ca6494
14671cbc4529
153772ce9056
hex1f50c346b9

134498961081 has 105 divisors (see below), whose sum is σ = 218915261641. Its totient is φ = 82595941056.

The previous prime is 134498961073. The next prime is 134498961101. The reversal of 134498961081 is 180169894431.

The square root of 134498961081 is 366741.

It is a perfect power (a square), and thus also a powerful number.

134498961081 is a `hidden beast` number, since 1 + 3 + 449 + 8 + 96 + 108 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41742167481 + 92756793600 = 204309^2 + 304560^2 .

It is not a de Polignac number, because 134498961081 - 23 = 134498961073 is a prime.

It is a super-2 number, since 2×1344989610812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134498961011) by changing a digit.

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 104 ways as a sum of consecutive naturals, for example, 2861680000 + ... + 2861680046.

Almost surely, 2134498961081 is an apocalyptic number.

134498961081 is the 366741-st square number.

134498961081 is the 183371-st centered octagonal number.

It is an amenable number.

134498961081 is a deficient number, since it is larger than the sum of its proper divisors (84416300560).

134498961081 is an frugal number, since it uses more digits than its factorization.

134498961081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 134498961081 in words is "one hundred thirty-four billion, four hundred ninety-eight million, nine hundred sixty-one thousand, eighty-one".

Divisors: 1 3 9 17 27 47 51 81 141 153 243 289 423 459 729 799 867 1269 1377 2209 2397 2601 3807 4131 4913 6627 7191 7803 11421 12393 13583 14739 19881 21573 23409 34263 37553 40749 44217 59643 64719 70227 83521 112659 122247 132651 178929 194157 210681 230911 250563 337977 366741 397953 536787 582471 638401 692733 751689 1013931 1100223 1193859 1610361 1915203 2078199 2255067 3041793 3300669 3581577 3925487 5745609 6234597 6765201 9125379 9902007 10852817 11776461 17236827 18703791 20295603 27376137 32558451 35329383 51710481 56111373 60886809 97675353 105988149 155131443 168334119 184497889 293026059 317964447 465394329 553493667 879078177 953893341 1660481001 2637234531 2861680023 4981443003 7911703593 14944329009 44832987027 134498961081