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135043518852 = 2232113835211709
BaseRepresentation
bin111110111000100111…
…0001001000110000100
3110220120102012112211100
41331301032021012010
54203032120100402
6142012123140100
712520334653644
oct1756116110604
9426512175740
10135043518852
11522a9600530
1222209974630
13c971a5c808
146771258524
1537a5a1471c
hex1f71389184

135043518852 has 144 divisors (see below), whose sum is σ = 374300559360. Its totient is φ = 40713254400.

The previous prime is 135043518823. The next prime is 135043518853. The reversal of 135043518852 is 258815340531.

135043518852 is a `hidden beast` number, since 1 + 3 + 50 + 4 + 3 + 518 + 85 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135043518798 and 135043518807.

It is not an unprimeable number, because it can be changed into a prime (135043518853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79018174 + ... + 79019882.

It is an arithmetic number, because the mean of its divisors is an integer number (2599309440).

Almost surely, 2135043518852 is an apocalyptic number.

135043518852 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 135043518852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187150279680).

135043518852 is an abundant number, since it is smaller than the sum of its proper divisors (239257040508).

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

135043518852 is a wasteful number, since it uses less digits than its factorization.

135043518852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 135043518852 in words is "one hundred thirty-five billion, forty-three million, five hundred eighteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 383 396 521 766 1042 1149 1532 1563 1709 2084 2298 3126 3418 3447 4213 4596 4689 5127 5731 6252 6836 6894 8426 9378 10254 11462 12639 13788 15381 16852 17193 18756 18799 20508 22924 25278 30762 34386 37598 37917 50556 51579 56397 61524 68772 75196 75834 103158 112794 151668 169191 199543 206316 225588 338382 399086 598629 654547 676764 798172 890389 1197258 1309094 1780778 1795887 1963641 2194973 2394516 2618188 2671167 3561556 3591774 3927282 4389946 5342334 5890923 6584919 7183548 7200017 7854564 8013501 8779892 9794279 10684668 11781846 13169838 14400034 16027002 19588558 19754757 21600051 23563692 26339676 28800068 29382837 32054004 39177116 39509514 43200102 58765674 64800153 79019028 86400204 88148511 117531348 129600306 176297022 259200612 341018987 352594044 682037974 1023056961 1364075948 2046113922 3069170883 3751208857 4092227844 6138341766 7502417714 11253626571 12276683532 15004835428 22507253142 33760879713 45014506284 67521759426 135043518852