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135076124540 = 225723311353197
BaseRepresentation
bin111110111001100101…
…0100001011101111100
3110220122200120002102102
41331303022201131330
54203113441441130
6142015250044232
712521212054160
oct1756312413574
9426580502372
10135076124540
1152315a50685
1222218879678
13c978737816
146775704ca0
1537a8805645
hex1f732a177c

135076124540 has 96 divisors (see below), whose sum is σ = 349190037504. Its totient is φ = 42869249280.

The previous prime is 135076124537. The next prime is 135076124551. The reversal of 135076124540 is 45421670531.

It is a junction number, because it is equal to n+sod(n) for n = 135076124494 and 135076124503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576779 + ... + 776418.

It is an arithmetic number, because the mean of its divisors is an integer number (3637396224).

Almost surely, 2135076124540 is an apocalyptic number.

135076124540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135076124540 is an abundant number, since it is smaller than the sum of its proper divisors (214113912964).

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

135076124540 is a wasteful number, since it uses less digits than its factorization.

135076124540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353267 (or 1353265 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 135076124540 in words is "one hundred thirty-five billion, seventy-six million, one hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 31 35 46 62 70 92 115 124 140 155 161 217 230 310 322 434 460 620 644 713 805 868 1085 1426 1610 2170 2852 3220 3565 4340 4991 7130 9982 14260 19964 24955 49910 99820 1353197 2706394 5412788 6765985 9472379 13531970 18944758 27063940 31123531 37889516 41949107 47361895 62247062 83898214 94723790 124494124 155617655 167796428 189447580 209745535 217864717 293643749 311235310 419491070 435729434 587287498 622470620 838982140 871458868 964829461 1089323585 1174574996 1468218745 1929658922 2178647170 2936437490 3859317844 4357294340 4824147305 5872874980 6753806227 9648294610 13507612454 19296589220 27015224908 33769031135 67538062270 135076124540