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135045042 = 231117373253
BaseRepresentation
bin10000000110010…
…01111110110010
3100102002222222020
420003021332302
5234032420132
621222252310
73226602216
oct1003117662
9312088866
10135045042
116a258380
1239287096
1321c93c12
1413d14946
15bcc852c
hex80c9fb2

135045042 has 64 divisors (see below), whose sum is σ = 320505984. Its totient is φ = 37463040.

The previous prime is 135045037. The next prime is 135045089. The reversal of 135045042 is 240540531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39888 + ... + 43140.

It is an arithmetic number, because the mean of its divisors is an integer number (5007906).

Almost surely, 2135045042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135045042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160252992).

135045042 is an abundant number, since it is smaller than the sum of its proper divisors (185460942).

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

135045042 is a wasteful number, since it uses less digits than its factorization.

135045042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 135045042 is about 11620.8881760389. Note that the first 3 decimals coincide. The cubic root of 135045042 is about 513.0498300566.

Adding to 135045042 its reverse (240540531), we get a palindrome (375585573).

The spelling of 135045042 in words is "one hundred thirty-five million, forty-five thousand, forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 374 407 561 629 814 1122 1221 1258 1887 2442 3253 3774 6506 6919 9759 13838 19518 20757 35783 41514 55301 71566 107349 110602 120361 165903 214698 240722 331806 361083 608311 722166 1216622 1323971 1824933 2046137 2647942 3649866 3971913 4092274 6138411 7943826 12276822 22507507 45015014 67522521 135045042