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135384560740 = 225111381158369
BaseRepresentation
bin111111000010110001…
…1000111010001100100
3110221110011221021100101
41332011203013101210
54204231421420430
6142110024553444
712531645531112
oct1760543072144
9427404837311
10135384560740
1152464067330
12222a4022884
13c9c75ca450
1467a4672ab2
1537c592ddca
hex1f858c7464

135384560740 has 96 divisors (see below), whose sum is σ = 334429280640. Its totient is φ = 45386956800.

The previous prime is 135384560723. The next prime is 135384560749. The reversal of 135384560740 is 47065483531.

It is not an unprimeable number, because it can be changed into a prime (135384560749) 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, 2290276 + ... + 2348644.

It is an arithmetic number, because the mean of its divisors is an integer number (3483638340).

Almost surely, 2135384560740 is an apocalyptic number.

135384560740 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 135384560740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167214640320).

135384560740 is an abundant number, since it is smaller than the sum of its proper divisors (199044719900).

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

135384560740 is a wasteful number, since it uses less digits than its factorization.

135384560740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59213 (or 59211 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 135384560740 in words is "one hundred thirty-five billion, three hundred eighty-four million, five hundred sixty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 811 1430 1622 2860 3244 4055 8110 8921 10543 16220 17842 21086 35684 42172 44605 52715 58369 89210 105430 115973 116738 178420 210860 231946 233476 291845 463892 579865 583690 642059 758797 1159730 1167380 1284118 1517594 2319460 2568236 3035188 3210295 3793985 6420590 7587970 8346767 12841180 15175940 16693534 33387068 41733835 47337259 83467670 94674518 166935340 189349036 236686295 473372590 520709849 615384367 946745180 1041419698 1230768734 2082839396 2461537468 2603549245 3076921835 5207098490 6153843670 6769228037 10414196980 12307687340 13538456074 27076912148 33846140185 67692280370 135384560740