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135748328232 = 233113735938711
BaseRepresentation
bin111111001101100111…
…0110001101100101000
3110222101112102120112110
41332123032301230220
54211003033000412
6142210101442320
712543653515536
oct1763316615450
9428345376473
10135748328232
1152630435220
1222385a103a0
13ca54a93c9a
1467daac5156
1537e7836d3c
hex1f9b3b1b28

135748328232 has 128 divisors (see below), whose sum is σ = 381297715200. Its totient is φ = 39911558400.

The previous prime is 135748328213. The next prime is 135748328239. The reversal of 135748328232 is 232823847531.

It is not an unprimeable number, because it can be changed into a prime (135748328239) 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, 3487357 + ... + 3526067.

It is an arithmetic number, because the mean of its divisors is an integer number (2978888400).

Almost surely, 2135748328232 is an apocalyptic number.

135748328232 is a gapful number since it is divisible by the number (12) 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 135748328232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190648857600).

135748328232 is an abundant number, since it is smaller than the sum of its proper divisors (245549386968).

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

135748328232 is a wasteful number, since it uses less digits than its factorization.

135748328232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39127 (or 39123 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 135748328232 in words is "one hundred thirty-five billion, seven hundred forty-eight million, three hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 359 407 444 718 814 888 1077 1221 1436 1628 2154 2442 2872 3256 3949 4308 4884 7898 8616 9768 11847 13283 15796 23694 26566 31592 38711 39849 47388 53132 77422 79698 94776 106264 116133 146113 154844 159396 232266 292226 309688 318792 425821 438339 464532 584452 851642 876678 929064 1168904 1277463 1432307 1703284 1753356 2554926 2864614 3406568 3506712 4296921 5109852 5729228 8593842 10219704 11458456 13897249 15755377 17187684 27794498 31510754 34375368 41691747 47266131 55588996 63021508 83383494 94532262 111177992 126043016 152869739 166766988 189064524 305739478 333533976 378129048 458609217 514198213 611478956 917218434 1028396426 1222957912 1542594639 1834436868 2056792852 3085189278 3668873736 4113585704 5656180343 6170378556 11312360686 12340757112 16968541029 22624721372 33937082058 45249442744 67874164116 135748328232