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135054551856 = 24372379151507
BaseRepresentation
bin111110111000111100…
…0001110101100110000
3110220121011222002021010
41331301320032230300
54203042431124411
6142013155430520
712520530515100
oct1756170165460
9426534862233
10135054551856
1152304856814
12222115b5440
13c974123613
1467728cb200
1537a69937a6
hex1f71e0eb30

135054551856 has 120 divisors (see below), whose sum is σ = 406926246720. Its totient is φ = 38484948096.

The previous prime is 135054551773. The next prime is 135054551893. The reversal of 135054551856 is 658155450531.

135054551856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815655 + ... + 967161.

It is an arithmetic number, because the mean of its divisors is an integer number (3391052056).

Almost surely, 2135054551856 is an apocalyptic number.

135054551856 is a gapful number since it is divisible by the number (16) 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 135054551856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203463123360).

135054551856 is an abundant number, since it is smaller than the sum of its proper divisors (271871694864).

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

135054551856 is a wasteful number, since it uses less digits than its factorization.

135054551856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151911 (or 151898 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 48.

The spelling of 135054551856 in words is "one hundred thirty-five billion, fifty-four million, five hundred fifty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 379 392 588 758 784 1137 1176 1516 2274 2352 2653 3032 4548 5306 6064 7959 9096 10612 15918 18192 18571 21224 31836 37142 42448 55713 63672 74284 111426 127344 148568 151507 222852 297136 303014 445704 454521 606028 891408 909042 1060549 1212056 1818084 2121098 2424112 3181647 3636168 4242196 6363294 7272336 7423843 8484392 12726588 14847686 16968784 22271529 25453176 29695372 44543058 50906352 57421153 59390744 89086116 114842306 118781488 172263459 178172232 229684612 344526918 356344464 401948071 459369224 689053836 803896142 918738448 1205844213 1378107672 1607792284 2411688426 2756215344 2813636497 3215584568 4823376852 5627272994 6431169136 8440909491 9646753704 11254545988 16881818982 19293507408 22509091976 33763637964 45018183952 67527275928 135054551856