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135044153402130 = 23357646091105913
BaseRepresentation
bin11110101101001001101010…
…110010101110001100010010
3122201011002120020112122022000
4132231021222302232030102
5120200030411232332010
61155114232211054430
740305422004200550
oct3655115262561422
9581132506478260
10135044153402130
113a0359a4002275
12131905658a1416
135a477bc0409ab
14254c259998bd0
151092c1d2297c0
hex7ad26acae312

135044153402130 has 128 divisors (see below), whose sum is σ = 411569876390400. Its totient is φ = 30866729398272.

The previous prime is 135044153402113. The next prime is 135044153402149. The reversal of 135044153402130 is 31204351440531.

135044153402130 is a `hidden beast` number, since 1 + 3 + 50 + 4 + 41 + 534 + 0 + 2 + 1 + 30 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121558054 + ... + 122663966.

It is an arithmetic number, because the mean of its divisors is an integer number (3215389659300).

Almost surely, 2135044153402130 is an apocalyptic number.

135044153402130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135044153402130 is an abundant number, since it is smaller than the sum of its proper divisors (276525722988270).

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

135044153402130 is a wasteful number, since it uses less digits than its factorization.

135044153402130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170545 (or 1170539 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 135044153402130 in words is "one hundred thirty-five trillion, forty-four billion, one hundred fifty-three million, four hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 64609 129218 193827 323045 387654 452263 581481 646090 904526 969135 1105913 1162962 1356789 1744443 1938270 2211826 2261315 2713578 2907405 3317739 3488886 4070367 4522630 5529565 5814810 6635478 6783945 7741391 8140734 8722215 9953217 11059130 12211101 13567890 15482782 16588695 17444430 19906434 20351835 23224173 24422202 29859651 33177390 38706955 40703670 46448346 49766085 59719302 61055505 69672519 77413910 99532170 116120865 122111010 139345038 149298255 209017557 232241730 298596510 348362595 418035114 696725190 1045087785 2090175570 71451933017 142903866034 214355799051 357259665085 428711598102 500163531119 643067397153 714519330170 1000327062238 1071778995255 1286134794306 1500490593357 1929202191459 2143557990510 2500817655595 3000981186714 3215336985765 3858404382918 4501471780071 5001635311190 6430673971530 7502452966785 9002943560142 9646010957295 13504415340213 15004905933570 19292021914590 22507358900355 27008830680426 45014717800710 67522076701065 135044153402130