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126540651002136 = 233717142331136297
BaseRepresentation
bin11100110001011010001010…
…100011010111100100011000
3121121001011112112120011121220
4130301122022203113210120
5113041220223124032021
61125043550023132040
735440155203325150
oct3461321243274430
9547034475504556
10126540651002136
1137357652645698
1212238513ba4020
13557b969801c47
142336858cb1760
15e9692ce4ccc6
hex73168a8d7918

126540651002136 has 128 divisors (see below), whose sum is σ = 383081083361280. Its totient is φ = 34003824316416.

The previous prime is 126540651002131. The next prime is 126540651002147. The reversal of 126540651002136 is 631200156045621.

It is a super-2 number, since 2×1265406510021362 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126540651002131) 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, 11504061 + ... + 19632236.

It is an arithmetic number, because the mean of its divisors is an integer number (2992820963760).

Almost surely, 2126540651002136 is an apocalyptic number.

It is an amenable number.

126540651002136 is an abundant number, since it is smaller than the sum of its proper divisors (256540432359144).

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

126540651002136 is a wasteful number, since it uses less digits than its factorization.

126540651002136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31137753 (or 31137749 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 126540651002136 in words is "one hundred twenty-six trillion, five hundred forty billion, six hundred fifty-one million, two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1423 1428 2846 2856 4269 5692 8538 9961 11384 17076 19922 24191 29883 34152 39844 48382 59766 72573 79688 96764 119532 145146 169337 193528 239064 290292 338674 508011 580584 677348 1016022 1354696 2032044 4064088 31136297 62272594 93408891 124545188 186817782 217954079 249090376 373635564 435908158 529317049 653862237 747271128 871816316 1058634098 1307724474 1587951147 1743632632 2117268196 2615448948 3175902294 3705219343 4234536392 5230897896 6351804588 7410438686 11115658029 12703609176 14820877372 22231316058 29641754744 44306950631 44462632116 88613901262 88925264232 132920851893 177227802524 265841703786 310148654417 354455605048 531683407572 620297308834 753218160727 930445963251 1063366815144 1240594617668 1506436321454 1860891926502 2259654482181 2481189235336 3012872642908 3721783853004 4519308964362 5272527125089 6025745285816 7443567706008 9038617928724 10545054250178 15817581375267 18077235857448 21090108500356 31635162750534 42180217000712 63270325501068 126540651002136