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135054010146 = 231117210368743
BaseRepresentation
bin111110111000111011…
…0001010011100100010
3110220121010221120011210
41331301312022130202
54203042311311041
6142013140050550
712520523100546
oct1756166123442
9426533846153
10135054010146
1152304516820
1222211393a56
13c973c93b93
1467727c9a26
1537a68d8016
hex1f71d8a722

135054010146 has 96 divisors (see below), whose sum is σ = 316059614208. Its totient is φ = 38143560960.

The previous prime is 135054010087. The next prime is 135054010153. The reversal of 135054010146 is 641010450531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930251 + ... + 1998993.

It is an arithmetic number, because the mean of its divisors is an integer number (3292287648).

Almost surely, 2135054010146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135054010146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158029807104).

135054010146 is an abundant number, since it is smaller than the sum of its proper divisors (181005604062).

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

135054010146 is a wasteful number, since it uses less digits than its factorization.

135054010146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68896 (or 68879 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 135054010146 its reverse (641010450531), we get a palindrome (776064460677).

The spelling of 135054010146 in words is "one hundred thirty-five billion, fifty-four million, ten thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 103 187 206 289 309 374 561 578 618 867 1122 1133 1734 1751 2266 3179 3399 3502 5253 6358 6798 9537 10506 19074 19261 29767 38522 57783 59534 68743 89301 115566 137486 178602 206229 327437 412458 654874 756173 982311 1168631 1512346 1964622 2268519 2337262 3505893 4537038 7011786 7080529 12854941 14161058 19866727 21241587 25709882 38564823 39733454 42483174 59600181 77129646 77885819 119200362 120368993 155771638 218533997 233657457 240737986 361106979 437067994 467314914 655601991 722213958 1311203982 1324058923 2046272881 2648117846 3972176769 4092545762 6138818643 7944353538 12277637286 22509001691 45018003382 67527005073 135054010146