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135197044608 = 2734717941849
BaseRepresentation
bin111110111101001011…
…1110010111110000000
3110220222010002110120110
41331322113302332000
54203340420411413
6142035245511320
712524210626623
oct1757227627600
9426863073513
10135197044608
115237823071a
1222251272540
13c9977c4462
1467877bddba
1537b423d8c3
hex1f7a5f2f80

135197044608 has 128 divisors (see below), whose sum is σ = 368815680000. Its totient is φ = 43859382272.

The previous prime is 135197044607. The next prime is 135197044639. The reversal of 135197044608 is 806440791531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135197044603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3209668 + ... + 3251516.

It is an arithmetic number, because the mean of its divisors is an integer number (2881372500).

Almost surely, 2135197044608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135197044608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184407840000).

135197044608 is an abundant number, since it is smaller than the sum of its proper divisors (233618635392).

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

135197044608 is a wasteful number, since it uses less digits than its factorization.

135197044608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42092 (or 42080 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 135197044608 in words is "one hundred thirty-five billion, one hundred ninety-seven million, forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 179 188 192 282 358 376 384 537 564 716 752 1074 1128 1432 1504 2148 2256 2864 3008 4296 4512 5728 6016 8413 8592 9024 11456 16826 17184 18048 22912 25239 33652 34368 41849 50478 67304 68736 83698 100956 125547 134608 167396 201912 251094 269216 334792 403824 502188 538432 669584 807648 1004376 1076864 1339168 1615296 1966903 2008752 2678336 3230592 3933806 4017504 5356672 5900709 7490971 7867612 8035008 11801418 14981942 15735224 16070016 22472913 23602836 29963884 31470448 44945826 47205672 59927768 62940896 89891652 94411344 119855536 125881792 179783304 188822688 239711072 251763584 352075637 359566608 377645376 479422144 704151274 719133216 755290752 958844288 1056226911 1408302548 1438266432 2112453822 2816605096 2876532864 4224907644 5633210192 8449815288 11266420384 16899630576 22532840768 33799261152 45065681536 67598522304 135197044608