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135332344524 = 223131277339319
BaseRepresentation
bin111111000001001101…
…1111011001011001100
3110221022112200102011110
41332002123323023030
54204130040011044
6142100521452020
712530442643206
oct1760233731314
9427275612143
10135332344524
1152437642533
122228a641010
13c9b9847390
14679b75d776
1537c10676b9
hex1f826fb2cc

135332344524 has 96 divisors (see below), whose sum is σ = 343247994880. Its totient is φ = 41252053248.

The previous prime is 135332344493. The next prime is 135332344571. The reversal of 135332344524 is 425443233531.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 14517537 + ... + 14526855.

Almost surely, 2135332344524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135332344524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171623997440).

135332344524 is an abundant number, since it is smaller than the sum of its proper divisors (207915650356).

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

135332344524 is a wasteful number, since it uses less digits than its factorization.

135332344524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10199 (or 10197 counting only the distinct ones).

The product of its digits is 518400, while the sum is 39.

The spelling of 135332344524 in words is "one hundred thirty-five billion, three hundred thirty-two million, three hundred forty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 733 762 1466 1524 1651 2199 2932 3302 4398 4953 6604 8796 9319 9529 9906 18638 19058 19812 27957 28587 37276 38116 55914 57174 93091 111828 114348 121147 186182 242294 279273 363441 372364 484588 558546 726882 1117092 1183513 1210183 1453764 2367026 2420366 3550539 3630549 4734052 4840732 6830827 7101078 7261098 13661654 14202156 14522196 15385669 20492481 27323308 30771338 40984962 46157007 61542676 81969924 88800751 92314014 177601502 184628028 266402253 355203004 532804506 867515029 1065609012 1735030058 2602545087 3470060116 5205090174 10410180348 11277695377 22555390754 33833086131 45110781508 67666172262 135332344524