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135937177156 = 2211107163307577
BaseRepresentation
bin111111010011001111…
…1001011011001000100
3110222212200210002120001
41332212133023121010
54211344404132111
6142240525251044
712551435640514
oct1764637133104
9428780702501
10135937177156
1152717aa1210
1222419103a84
13ca84c45801
146817c03844
1538091dc1c1
hex1fa67cb644

135937177156 has 96 divisors (see below), whose sum is σ = 264865531392. Its totient is φ = 60533360640.

The previous prime is 135937177151. The next prime is 135937177177. The reversal of 135937177156 is 651771739531.

It is a super-2 number, since 2×1359371771562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135937177097 and 135937177106.

It is not an unprimeable number, because it can be changed into a prime (135937177151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235592740 + ... + 235593316.

It is an arithmetic number, because the mean of its divisors is an integer number (2759015952).

Almost surely, 2135937177156 is an apocalyptic number.

It is an amenable number.

135937177156 is a deficient number, since it is larger than the sum of its proper divisors (128928354236).

135937177156 is a wasteful number, since it uses less digits than its factorization.

135937177156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1167 counting only the distinct ones).

The product of its digits is 4167450, while the sum is 55.

The spelling of 135937177156 in words is "one hundred thirty-five billion, nine hundred thirty-seven million, one hundred seventy-seven thousand, one hundred fifty-six".

Divisors: 1 2 4 11 22 44 107 163 214 307 326 428 577 614 652 1154 1177 1228 1793 2308 2354 3377 3586 4708 6347 6754 7172 12694 13508 17441 25388 32849 34882 50041 61739 65698 69764 94051 100082 123478 131396 177139 188102 191851 200164 246956 354278 361339 376204 383702 550451 679129 708556 722678 767404 1034561 1100902 1358258 1445356 1948529 2069122 2201804 2716516 3897058 4138244 5354387 7794116 10063457 10708774 18953873 20126914 21417548 28873657 37907746 40253828 57747314 58898257 75815492 110698027 115494628 117796514 208492603 221396054 235593028 317610227 416985206 442792108 635220454 833970412 1270440908 3089481299 6178962598 12357925196 33984294289 67968588578 135937177156