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135754296660 = 2232531167145681
BaseRepresentation
bin111111001101110010…
…1100010110101010100
3110222101221122210200100
41332123211202311110
54211011044443120
6142210433414100
712544055324313
oct1763345426524
9428357583610
10135754296660
1152633841404
1222387a0a330
13ca560a37b8
1467db7da27a
1537e8115490
hex1f9b962d54

135754296660 has 144 divisors (see below), whose sum is σ = 427619791872. Its totient is φ = 34823347200.

The previous prime is 135754296659. The next prime is 135754296661. The reversal of 135754296660 is 66692457531.

It is an interprime number because it is at equal distance from previous prime (135754296659) and next prime (135754296661).

It is a junction number, because it is equal to n+sod(n) for n = 135754296597 and 135754296606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135754296661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859020 + ... + 1004700.

It is an arithmetic number, because the mean of its divisors is an integer number (2969581888).

Almost surely, 2135754296660 is an apocalyptic number.

135754296660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135754296660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213809895936).

135754296660 is an abundant number, since it is smaller than the sum of its proper divisors (291865495212).

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

135754296660 is a wasteful number, since it uses less digits than its factorization.

135754296660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145894 (or 145889 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 135754296660 in words is "one hundred thirty-five billion, seven hundred fifty-four million, two hundred ninety-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 167 180 186 279 310 334 372 465 501 558 620 668 835 930 1002 1116 1395 1503 1670 1860 2004 2505 2790 3006 3340 5010 5177 5580 6012 7515 10020 10354 15030 15531 20708 25885 30060 31062 46593 51770 62124 77655 93186 103540 145681 155310 186372 232965 291362 310620 437043 465930 582724 728405 874086 931860 1311129 1456810 1748172 2185215 2622258 2913620 4370430 4516111 5244516 6555645 8740860 9032222 13111290 13548333 18064444 22580555 24328727 26222580 27096666 40644999 45161110 48657454 54193332 67741665 72986181 81289998 90322220 97314908 121643635 135483330 145972362 162579996 203224995 218958543 243287270 270966660 291944724 364930905 406449990 437917086 486574540 729861810 754190537 812899980 875834172 1094792715 1459723620 1508381074 2189585430 2262571611 3016762148 3770952685 4379170860 4525143222 6787714833 7541905370 9050286444 11312858055 13575429666 15083810740 22625716110 27150859332 33938574165 45251432220 67877148330 135754296660