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135625340520 = 23345291443437
BaseRepresentation
bin111111001001111100…
…1100111011001101000
3110222001222000011010000
41332103321213121220
54210230041344040
6142145545423000
712540631242015
oct1762371473150
9428058004100
10135625340520
1152577a7278a
122235079aa60
13ca354621a7
1467c862c70c
1537dbb41130
hex1f93e67668

135625340520 has 160 divisors (see below), whose sum is σ = 471571194600. Its totient is φ = 34919603712.

The previous prime is 135625340507. The next prime is 135625340531. The reversal of 135625340520 is 25043526531.

135625340520 is a `hidden beast` number, since 1 + 3 + 5 + 625 + 3 + 4 + 0 + 5 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113578436196 + 22046904324 = 337014^2 + 148482^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 627759 + ... + 815678.

Almost surely, 2135625340520 is an apocalyptic number.

135625340520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135625340520 is an abundant number, since it is smaller than the sum of its proper divisors (335945854080).

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

135625340520 is a wasteful number, since it uses less digits than its factorization.

135625340520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443489 (or 1443476 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 135625340520 in words is "one hundred thirty-five billion, six hundred twenty-five million, three hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2610 3132 3240 3480 3915 4698 5220 6264 7830 9396 10440 11745 15660 18792 23490 31320 46980 93960 1443437 2886874 4330311 5773748 7217185 8660622 11547496 12990933 14434370 17321244 21651555 25981866 28868740 34642488 38972799 41859673 43303110 51963732 57737480 64954665 77945598 83719346 86606220 103927464 116918397 125579019 129909330 155891196 167438692 173212440 194863995 209298365 233836794 251158038 259818660 311782392 334877384 376737057 389727990 418596730 467673588 502316076 519637320 584591985 627895095 753474114 779455980 837193460 935347176 1004632152 1130211171 1169183970 1255790190 1506948228 1558911960 1674386920 1883685285 2260422342 2338367940 2511580380 3013896456 3390633513 3767370570 4520844684 4676735880 5023160760 5651055855 6781267026 7534741140 9041689368 11302111710 13562534052 15069482280 16953167565 22604223420 27125068104 33906335130 45208446840 67812670260 135625340520