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135267800955 = 35719791934447
BaseRepresentation
bin111110111111010010…
…1101101011101111011
3110221011001020021000220
41331332211231131323
54204012024112310
6142050254231123
712526030223430
oct1757645553573
9427131207026
10135267800955
1152404168a41
1222270ab54a3
13c9a9369311
146792d5bb87
1537ba568670
hex1f7e96d77b

135267800955 has 128 divisors (see below), whose sum is σ = 265086566400. Its totient is φ = 57527967744.

The previous prime is 135267800911. The next prime is 135267800957. The reversal of 135267800955 is 559008762531.

It is a happy number.

It is not a de Polignac number, because 135267800955 - 27 = 135267800827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135267800898 and 135267800907.

It is not an unprimeable number, because it can be changed into a prime (135267800957) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30415542 + ... + 30419988.

It is an arithmetic number, because the mean of its divisors is an integer number (2070988800).

Almost surely, 2135267800955 is an apocalyptic number.

135267800955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135267800955 is a deficient number, since it is larger than the sum of its proper divisors (129818765445).

135267800955 is a wasteful number, since it uses less digits than its factorization.

135267800955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753.

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 135267800955 in words is "one hundred thirty-five billion, two hundred sixty-seven million, eight hundred thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 15 19 21 35 57 79 95 105 133 193 237 285 395 399 553 579 665 965 1185 1351 1501 1659 1995 2765 2895 3667 4053 4447 4503 6755 7505 8295 10507 11001 13341 15247 18335 20265 22235 22515 25669 31129 31521 45741 52535 55005 66705 76235 77007 84493 93387 106729 128345 155645 157605 228705 253479 289693 320187 351313 385035 422465 466935 533645 591451 858271 869079 1053939 1267395 1448465 1600935 1756565 1774353 2027851 2459191 2574813 2957255 4291355 4345395 5269695 6007897 6083553 6674947 7377573 8871765 10139255 12295955 12874065 16307149 18023691 20024841 30039485 30417765 33374735 36887865 46724629 48921447 67803409 81535745 90118455 100124205 114150043 140173887 203410227 233623145 244607235 339017045 342450129 474623863 570750215 700869435 1017051135 1288264771 1423871589 1712250645 2373119315 3864794313 6441323855 7119357945 9017853397 19323971565 27053560191 45089266985 135267800955